2516611656 has 128 divisors (see below), whose sum is σ = 6936652800. Its totient is φ = 756138240.

The previous prime is 2516611649. The next prime is 2516611673. The reversal of 2516611656 is 6561166152.

It is a super-4 number, since 4×2516611656⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2737965 + ... + 2738883.

It is an arithmetic number, because the mean of its divisors is an integer number (54192600).

Almost surely, 2^2516611656 is an apocalyptic number.

2516611656 is a gapful number since it is divisible by the number (26) 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 2516611656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468326400).

2516611656 is an abundant number, since it is smaller than the sum of its proper divisors (4420041144).

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

2516611656 is a wasteful number, since it uses less digits than its factorization.

2516611656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1135 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 2516611656 is about 50165.8415258829. The cubic root of 2516611656 is about 1360.2082394513.

The spelling of 2516611656 in words is "two billion, five hundred sixteen million, six hundred eleven thousand, six hundred fifty-six".