2451116070 has 96 divisors (see below), whose sum is σ = 6940533600. Its totient is φ = 596547072.

The previous prime is 2451116051. The next prime is 2451116081. The reversal of 2451116070 is 706111542.

It is a happy number.

2451116070 is a `hidden beast` number, since 2 + 4 + 51 + 1 + 1 + 607 + 0 = 666.

It is a super-2 number, since 2×2451116070² = 12015939977224489800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92361 + ... + 115899.

It is an arithmetic number, because the mean of its divisors is an integer number (72297225).

Almost surely, 2^2451116070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2451116070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470266800).

2451116070 is an abundant number, since it is smaller than the sum of its proper divisors (4489417530).

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

2451116070 is a wasteful number, since it uses less digits than its factorization.

2451116070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23654 (or 23651 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 2451116070 is about 49508.7474089175. The cubic root of 2451116070 is about 1348.3044227154.

The spelling of 2451116070 in words is "two billion, four hundred fifty-one million, one hundred sixteen thousand, seventy".