2534575680 has 672 divisors, whose sum is σ = 11316614400. Its totient is φ = 505626624.

The previous prime is 2534575663. The next prime is 2534575691. The reversal of 2534575680 is 865754352.

2534575680 is a `hidden beast` number, since 2 + 5 + 34 + 57 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4979266 + ... + 4979774.

It is an arithmetic number, because the mean of its divisors is an integer number (16840200).

Almost surely, 2^2534575680 is an apocalyptic number.

2534575680 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 2534575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5658307200).

2534575680 is an abundant number, since it is smaller than the sum of its proper divisors (8782038720).

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

2534575680 is a wasteful number, since it uses less digits than its factorization.

2534575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 2534575680 is about 50344.5695184694. The cubic root of 2534575680 is about 1363.4370388901.

It can be divided in two parts, 25345 and 75680, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 2534575680 in words is "two billion, five hundred thirty-four million, five hundred seventy-five thousand, six hundred eighty".