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2502423040 = 2951375193
BaseRepresentation
bin1001010100100111…
…1111001000000000
320110101202021001211
42111021333020000
520111110014130
61052151335504
7116004146665
oct22511771000
96411667054
102502423040
111074609517
1259a081594
1330b59a2c0
1419a4c1a6c
15e9a58a2a
hex9527f200

2502423040 has 80 divisors (see below), whose sum is σ = 6461570808. Its totient is φ = 923959296.

The previous prime is 2502423019. The next prime is 2502423071. The reversal of 2502423040 is 403242052.

It can be written as a sum of positive squares in 4 ways, for example, as 1446433024 + 1055990016 = 38032^2 + 32496^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×25024230402 = 12524242142245683200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4317 + ... + 70876.

Almost surely, 22502423040 is an apocalyptic number.

2502423040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230785404).

2502423040 is an abundant number, since it is smaller than the sum of its proper divisors (3959147768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2502423040 is an equidigital number, since it uses as much as digits as its factorization.

2502423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75229 (or 75213 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2502423040 is about 50024.2245317206. The cubic root of 2502423040 is about 1357.6471428784.

Adding to 2502423040 its reverse (403242052), we get a palindrome (2905665092).

The spelling of 2502423040 in words is "two billion, five hundred two million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280 75193 150386 300772 375965 601544 751930 977509 1203088 1503860 1955018 2406176 3007720 3910036 4812352 4887545 6015440 7820072 9624704 9775090 12030880 15640144 19249408 19550180 24061760 31280288 38498816 39100360 48123520 62560576 78200720 96247040 125121152 156401440 192494080 250242304 312802880 500484608 625605760 1251211520 2502423040