2534057809920 has 3456 divisors, whose sum is σ = 12212357713920. Its totient is φ = 490179133440.

The previous prime is 2534057809867. The next prime is 2534057809931. The reversal of 2534057809920 is 299087504352.

2534057809920 is a `hidden beast` number, since 2 + 5 + 3 + 40 + 578 + 0 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

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, 81743800305 + ... + 81743800335.

It is an arithmetic number, because the mean of its divisors is an integer number (3533668320).

Almost surely, 2^{2534057809920} is an apocalyptic number.

2534057809920 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 2534057809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106178856960).

2534057809920 is an abundant number, since it is smaller than the sum of its proper divisors (9678299904000).

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

2534057809920 is a wasteful number, since it uses less digits than its factorization.

2534057809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2534057809920 in words is "two trillion, five hundred thirty-four billion, fifty-seven million, eight hundred nine thousand, nine hundred twenty".