2516411142400 has 243 divisors, whose sum is σ = 6333583676133. Its totient is φ = 989863680000.

The previous prime is 2516411142397. The next prime is 2516411142481. The reversal of 2516411142400 is 42411146152.

The square root of 2516411142400 is 1586320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 905908011264 + 1610503131136 = 951792^2 + 1269056^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10025542275 + ... + 10025542525.

Almost surely, 2^{2516411142400} is an apocalyptic number.

2516411142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2516411142400 is the 1586320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516411142400

2516411142400 is an abundant number, since it is smaller than the sum of its proper divisors (3817172533733).

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

2516411142400 is an frugal number, since it uses more digits than its factorization.

2516411142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 2516411142400 its reverse (42411146152), we get a palindrome (2558822288552).

The spelling of 2516411142400 in words is "two trillion, five hundred sixteen billion, four hundred eleven million, one hundred forty-two thousand, four hundred".