2516007871104 has 512 divisors, whose sum is σ = 8356879910400. Its totient is φ = 652998868992.

The previous prime is 2516007871057. The next prime is 2516007871147. The reversal of 2516007871104 is 4011787006152.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1563708252 + ... + 1563709860.

It is an arithmetic number, because the mean of its divisors is an integer number (16322031075).

Almost surely, 2^{2516007871104} is an apocalyptic number.

2516007871104 is a gapful number since it is divisible by the number (24) 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 2516007871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178439955200).

2516007871104 is an abundant number, since it is smaller than the sum of its proper divisors (5840872039296).

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

2516007871104 is a wasteful number, since it uses less digits than its factorization.

2516007871104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 2516007871104 in words is "two trillion, five hundred sixteen billion, seven million, eight hundred seventy-one thousand, one hundred four".