2451760072 has 64 divisors (see below), whose sum is σ = 4957666560. Its totient is φ = 1133932800.

The previous prime is 2451760061. The next prime is 2451760081. The reversal of 2451760072 is 2700671542.

It is a super-2 number, since 2×2451760072² = 12022254901306890368, 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 15 ways as a sum of consecutive naturals, for example, 690622 + ... + 694162.

It is an arithmetic number, because the mean of its divisors is an integer number (77463540).

Almost surely, 2^2451760072 is an apocalyptic number.

It is an amenable number.

2451760072 is an abundant number, since it is smaller than the sum of its proper divisors (2505906488).

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

2451760072 is a wasteful number, since it uses less digits than its factorization.

2451760072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 2451760072 is about 49515.2509031308. The cubic root of 2451760072 is about 1348.4224960998.

The spelling of 2451760072 in words is "two billion, four hundred fifty-one million, seven hundred sixty thousand, seventy-two".