2516489078400 has 2880 divisors, whose sum is σ = 11113516814400. Its totient is φ = 558379008000.

The previous prime is 2516489078393. The next prime is 2516489078401. The reversal of 2516489078400 is 48709846152.

It is a happy number.

2516489078400 is a `hidden beast` number, since 2 + 5 + 164 + 8 + 9 + 0 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516489078401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 24431932749 + ... + 24431932851.

It is an arithmetic number, because the mean of its divisors is an integer number (3858860005).

Almost surely, 2^{2516489078400} is an apocalyptic number.

2516489078400 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 2516489078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556758407200).

2516489078400 is an abundant number, since it is smaller than the sum of its proper divisors (8597027736000).

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

2516489078400 is a wasteful number, since it uses less digits than its factorization.

2516489078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2516489078400 in words is "two trillion, five hundred sixteen billion, four hundred eighty-nine million, seventy-eight thousand, four hundred".