2534261760 has 264 divisors, whose sum is σ = 8992389120. Its totient is φ = 659570688.

The previous prime is 2534261731. The next prime is 2534261771. The reversal of 2534261760 is 671624352.

2534261760 is a `hidden beast` number, since 2 + 5 + 34 + 2 + 617 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1980801 + ... + 1982079.

It is an arithmetic number, because the mean of its divisors is an integer number (34062080).

Almost surely, 2^2534261760 is an apocalyptic number.

2534261760 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 2534261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496194560).

2534261760 is an abundant number, since it is smaller than the sum of its proper divisors (6458127360).

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

2534261760 is a wasteful number, since it uses less digits than its factorization.

2534261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2534261760 is about 50341.4517073157. The cubic root of 2534261760 is about 1363.3807470447.

The spelling of 2534261760 in words is "two billion, five hundred thirty-four million, two hundred sixty-one thousand, seven hundred sixty".