Search a number
-
+
2074452480 = 29325179503
BaseRepresentation
bin111101110100101…
…1010001000000000
312100120110002211100
41323221122020000
513222024434410
6541502414400
7102256361262
oct17351321000
95316402740
102074452480
11974a79941
1249a891400
13270a14699
14159719b32
15c21bc8c0
hex7ba5a200

2074452480 has 240 divisors, whose sum is σ = 7238911680. Its totient is φ = 549003264.

The previous prime is 2074452473. The next prime is 2074452487. The reversal of 2074452480 is 842544702.

2074452480 is a `hidden beast` number, since 207 + 445 + 2 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2074452473) and next prime (2074452487).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2074452487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4123909 + ... + 4124411.

It is an arithmetic number, because the mean of its divisors is an integer number (30162132).

Almost surely, 22074452480 is an apocalyptic number.

2074452480 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 2074452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619455840).

2074452480 is an abundant number, since it is smaller than the sum of its proper divisors (5164459200).

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

2074452480 is a wasteful number, since it uses less digits than its factorization.

2074452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2074452480 is about 45546.1576864613. The cubic root of 2074452480 is about 1275.3650073757.

The spelling of 2074452480 in words is "two billion, seventy-four million, four hundred fifty-two thousand, four hundred eighty".