2516582400 has 156 divisors (see below), whose sum is σ = 8321499012. Its totient is φ = 671088640.

The previous prime is 2516582371. The next prime is 2516582407. The reversal of 2516582400 is 42856152.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516582407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 503316478 + ... + 503316482.

Almost surely, 2^2516582400 is an apocalyptic number.

2516582400 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 2516582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160749506).

2516582400 is an abundant number, since it is smaller than the sum of its proper divisors (5804916612).

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

2516582400 is an frugal number, since it uses more digits than its factorization.

2516582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 2516582400 is about 50165.5499321995. The cubic root of 2516582400 is about 1360.2029685537.

2516582400 divided by its product of nonzero digits (19200) gives a 17-th power (131072 = 2¹⁷).

The spelling of 2516582400 in words is "two billion, five hundred sixteen million, five hundred eighty-two thousand, four hundred".