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2489884320 = 25357112329101
BaseRepresentation
bin1001010001101000…
…1001111010100000
320102112011020011210
42110122021322200
520044402244240
61051022510120
7115462444650
oct22432117240
96375136153
102489884320
111068524a40
12595a35340
13308aca041
1419897a360
15e88cd780
hex94689ea0

2489884320 has 768 divisors, whose sum is σ = 10659962880. Its totient is φ = 473088000.

The previous prime is 2489884307. The next prime is 2489884337. The reversal of 2489884320 is 234889842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2489884320.

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 127 ways as a sum of consecutive naturals, for example, 24652270 + ... + 24652370.

It is an arithmetic number, because the mean of its divisors is an integer number (13880160).

Almost surely, 22489884320 is an apocalyptic number.

2489884320 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 2489884320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329981440).

2489884320 is an abundant number, since it is smaller than the sum of its proper divisors (8170078560).

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

2489884320 is a wasteful number, since it uses less digits than its factorization.

2489884320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2489884320 is about 49898.7406654717. The cubic root of 2489884320 is about 1355.3757884379.

The spelling of 2489884320 in words is "two billion, four hundred eighty-nine million, eight hundred eighty-four thousand, three hundred twenty".