2516780039280 has 320 divisors, whose sum is σ = 8676737986560. Its totient is φ = 599286988800.

The previous prime is 2516780039243. The next prime is 2516780039341. The reversal of 2516780039280 is 829300876152.

It is a super-2 number, since 2×2516780039280² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 376140735 + ... + 376147425.

It is an arithmetic number, because the mean of its divisors is an integer number (27114806208).

Almost surely, 2^{2516780039280} is an apocalyptic number.

2516780039280 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 2516780039280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338368993280).

2516780039280 is an abundant number, since it is smaller than the sum of its proper divisors (6159957947280).

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

2516780039280 is a wasteful number, since it uses less digits than its factorization.

2516780039280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10640 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 2516780039280 in words is "two trillion, five hundred sixteen billion, seven hundred eighty million, thirty-nine thousand, two hundred eighty".