2552385024 has 240 divisors, whose sum is σ = 8583280992. Its totient is φ = 715014144.

The previous prime is 2552385001. The next prime is 2552385107. The reversal of 2552385024 is 4205832552.

It is a happy number.

2552385024 is a `hidden beast` number, since 2 + 552 + 3 + 85 + 0 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2552385024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1708822 + ... + 1710314.

Almost surely, 2^2552385024 is an apocalyptic number.

2552385024 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 2552385024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291640496).

2552385024 is an abundant number, since it is smaller than the sum of its proper divisors (6030895968).

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

2552385024 is a wasteful number, since it uses less digits than its factorization.

2552385024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1558 counting only the distinct ones).

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

The square root of 2552385024 is about 50521.1344290684. The cubic root of 2552385024 is about 1366.6230116798.

The spelling of 2552385024 in words is "two billion, five hundred fifty-two million, three hundred eighty-five thousand, twenty-four".