2562900649920 has 1344 divisors, whose sum is σ = 10852366936320. Its totient is φ = 548267360256.

The previous prime is 2562900649879. The next prime is 2562900649951. The reversal of 2562900649920 is 299460092652.

It is a happy number.

2562900649920 is a `hidden beast` number, since 2 + 5 + 62 + 90 + 0 + 6 + 499 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 424529142 + ... + 424535178.

It is an arithmetic number, because the mean of its divisors is an integer number (8074677780).

Almost surely, 2^{2562900649920} is an apocalyptic number.

2562900649920 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 2562900649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426183468160).

2562900649920 is an abundant number, since it is smaller than the sum of its proper divisors (8289466286400).

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

2562900649920 is a wasteful number, since it uses less digits than its factorization.

2562900649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 2562900649920 in words is "two trillion, five hundred sixty-two billion, nine hundred million, six hundred forty-nine thousand, nine hundred twenty".