2552145624 has 128 divisors (see below), whose sum is σ = 8115340800. Its totient is φ = 727989120.

The previous prime is 2552145613. The next prime is 2552145671. The reversal of 2552145624 is 4265412552.

2552145624 is a `hidden beast` number, since 2 + 5 + 5 + 21 + 4 + 5 + 624 = 666.

It is a super-2 number, since 2×2552145624² = 13026894572204698752, 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370454 + ... + 1372314.

It is an arithmetic number, because the mean of its divisors is an integer number (63401100).

Almost surely, 2^2552145624 is an apocalyptic number.

2552145624 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 2552145624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057670400).

2552145624 is an abundant number, since it is smaller than the sum of its proper divisors (5563195176).

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

2552145624 is a wasteful number, since it uses less digits than its factorization.

2552145624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2780 counting only the distinct ones).

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

The square root of 2552145624 is about 50518.7650680418. The cubic root of 2552145624 is about 1366.5802830455.

The spelling of 2552145624 in words is "two billion, five hundred fifty-two million, one hundred forty-five thousand, six hundred twenty-four".