2561973494400 has 2304 divisors, whose sum is σ = 10702621238400. Its totient is φ = 601974374400.

The previous prime is 2561973494393. The next prime is 2561973494411. The reversal of 2561973494400 is 44943791652.

2561973494400 is a `hidden beast` number, since 2 + 5 + 6 + 197 + 3 + 4 + 9 + 440 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15717628719 + ... + 15717628881.

Almost surely, 2^{2561973494400} is an apocalyptic number.

2561973494400 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 2561973494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5351310619200).

2561973494400 is an abundant number, since it is smaller than the sum of its proper divisors (8140647744000).

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

2561973494400 is a wasteful number, since it uses less digits than its factorization.

2561973494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2561973494400 in words is "two trillion, five hundred sixty-one billion, nine hundred seventy-three million, four hundred ninety-four thousand, four hundred".