2541139560 has 128 divisors (see below), whose sum is σ = 8482320000. Its totient is φ = 676689408.

The previous prime is 2541139541. The next prime is 2541139561. The reversal of 2541139560 is 659311452.

2541139560 is a `hidden beast` number, since 2 + 54 + 11 + 39 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2541139561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131799 + ... + 1134041.

It is an arithmetic number, because the mean of its divisors is an integer number (66268125).

Almost surely, 2^2541139560 is an apocalyptic number.

2541139560 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 2541139560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241160000).

2541139560 is an abundant number, since it is smaller than the sum of its proper divisors (5941180440).

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

2541139560 is a wasteful number, since it uses less digits than its factorization.

2541139560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2541139560 is about 50409.7169204510. The cubic root of 2541139560 is about 1364.6130046503.

The spelling of 2541139560 in words is "two billion, five hundred forty-one million, one hundred thirty-nine thousand, five hundred sixty".