2534938560 has 1008 divisors, whose sum is σ = 11708416512. Its totient is φ = 496742400.

The previous prime is 2534938543. The next prime is 2534938573. The reversal of 2534938560 is 658394352.

2534938560 is a `hidden beast` number, since 2 + 53 + 4 + 9 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35703325 + ... + 35703395.

Almost surely, 2^2534938560 is an apocalyptic number.

2534938560 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 2534938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854208256).

2534938560 is an abundant number, since it is smaller than the sum of its proper divisors (9173477952).

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

2534938560 is a wasteful number, since it uses less digits than its factorization.

2534938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 2534938560 is about 50348.1733531615. The cubic root of 2534938560 is about 1363.5021044059.

The spelling of 2534938560 in words is "two billion, five hundred thirty-four million, nine hundred thirty-eight thousand, five hundred sixty".