2494971884304 has 405 divisors, whose sum is σ = 7502389336533. Its totient is φ = 773953247232.

The previous prime is 2494971884233. The next prime is 2494971884333. The reversal of 2494971884304 is 4034881794942.

The square root of 2494971884304 is 1579548.

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

2494971884304 is a `hidden beast` number, since 2 + 494 + 97 + 18 + 8 + 43 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1120337571600 + 1374634312704 = 1058460^2 + 1172448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25721359584 + ... + 25721359680.

Almost surely, 2^{2494971884304} is an apocalyptic number.

2494971884304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2494971884304 is the 1579548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2494971884304

2494971884304 is an abundant number, since it is smaller than the sum of its proper divisors (5007417452229).

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

2494971884304 is an equidigital number, since it uses as much as digits as its factorization.

2494971884304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 2494971884304 in words is "two trillion, four hundred ninety-four billion, nine hundred seventy-one million, eight hundred eighty-four thousand, three hundred four".