2624401000 has 192 divisors, whose sum is σ = 6798420720. Its totient is φ = 947481600.

The previous prime is 2624400971. The next prime is 2624401019. The reversal of 2624401000 is 1044262.

2624401000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 851822596 + 1772578404 = 29186^2 + 42102^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8956854 + ... + 8957146.

Almost surely, 2^2624401000 is an apocalyptic number.

2624401000 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 2624401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399210360).

2624401000 is an abundant number, since it is smaller than the sum of its proper divisors (4174019720).

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

2624401000 is a wasteful number, since it uses less digits than its factorization.

2624401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2624401000 is about 51228.9078548431. The cubic root of 2624401000 is about 1379.3571535049.

Adding to 2624401000 its reverse (1044262), we get a palindrome (2625445262).

The spelling of 2624401000 in words is "two billion, six hundred twenty-four million, four hundred one thousand".