2541552624 has 120 divisors (see below), whose sum is σ = 7993134240. Its totient is φ = 748002816.

The previous prime is 2541552599. The next prime is 2541552653. The reversal of 2541552624 is 4262551452.

2541552624 is a `hidden beast` number, since 2 + 5 + 41 + 552 + 62 + 4 = 666.

It is a super-2 number, since 2×2541552624² = 12918979481122570752, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13542 + ... + 72570.

It is an arithmetic number, because the mean of its divisors is an integer number (66609452).

Almost surely, 2^2541552624 is an apocalyptic number.

2541552624 is a gapful number since it is divisible by the number (24) 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 2541552624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996567120).

2541552624 is an abundant number, since it is smaller than the sum of its proper divisors (5451581616).

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

2541552624 is a wasteful number, since it uses less digits than its factorization.

2541552624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59079 (or 59070 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 2541552624 is about 50413.8138212137. The cubic root of 2541552624 is about 1364.6869402415.

The spelling of 2541552624 in words is "two billion, five hundred forty-one million, five hundred fifty-two thousand, six hundred twenty-four".