2516631480 has 192 divisors, whose sum is σ = 9310878720. Its totient is φ = 583545600.

The previous prime is 2516631451. The next prime is 2516631493. The reversal of 2516631480 is 841366152.

It is a happy number.

2516631480 is a `hidden beast` number, since 2 + 5 + 16 + 631 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×2516631480² = 12666868012253980800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 77265 + ... + 104895.

It is an arithmetic number, because the mean of its divisors is an integer number (48494160).

Almost surely, 2^2516631480 is an apocalyptic number.

2516631480 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 2516631480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655439360).

2516631480 is an abundant number, since it is smaller than the sum of its proper divisors (6794247240).

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

2516631480 is a wasteful number, since it uses less digits than its factorization.

2516631480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27682 (or 27675 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2516631480 is about 50166.0391101390. The cubic root of 2516631480 is about 1360.2118110124.

The spelling of 2516631480 in words is "two billion, five hundred sixteen million, six hundred thirty-one thousand, four hundred eighty".