2534106960 has 480 divisors, whose sum is σ = 10867304448. Its totient is φ = 513838080.

The previous prime is 2534106919. The next prime is 2534106973. The reversal of 2534106960 is 696014352.

It is a happy number.

2534106960 is a `hidden beast` number, since 2 + 534 + 1 + 0 + 69 + 60 = 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 a congruent number.

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, 2383389 + ... + 2384451.

Almost surely, 2^2534106960 is an apocalyptic number.

2534106960 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 2534106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433652224).

2534106960 is an abundant number, since it is smaller than the sum of its proper divisors (8333197488).

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

2534106960 is a wasteful number, since it uses less digits than its factorization.

2534106960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2534106960 is about 50339.9141834787. The cubic root of 2534106960 is about 1363.3529867398.

The spelling of 2534106960 in words is "two billion, five hundred thirty-four million, one hundred six thousand, nine hundred sixty".