2545881624 has 384 divisors, whose sum is σ = 8580096000. Its totient is φ = 694552320.

The previous prime is 2545881617. The next prime is 2545881671. The reversal of 2545881624 is 4261885452.

2545881624 is a `hidden beast` number, since 2 + 5 + 4 + 588 + 1 + 62 + 4 = 666.

2545881624 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2545881624.

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, 20046249 + ... + 20046375.

It is an arithmetic number, because the mean of its divisors is an integer number (22344000).

Almost surely, 2^2545881624 is an apocalyptic number.

2545881624 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 2545881624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290048000).

2545881624 is an abundant number, since it is smaller than the sum of its proper divisors (6034214376).

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

2545881624 is a wasteful number, since it uses less digits than its factorization.

2545881624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 2545881624 is about 50456.7302151061. The cubic root of 2545881624 is about 1365.4613197405.

The spelling of 2545881624 in words is "two billion, five hundred forty-five million, eight hundred eighty-one thousand, six hundred twenty-four".