2563150400 has 42 divisors (see below), whose sum is σ = 6306955890. Its totient is φ = 1025259520.

The previous prime is 2563150363. The next prime is 2563150417. The reversal of 2563150400 is 40513652.

It can be written as a sum of positive squares in 3 ways, for example, as 342102016 + 2221048384 = 18496^2 + 47128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2563150400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 799385 + ... + 802584.

Almost surely, 2^2563150400 is an apocalyptic number.

2563150400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2563150400 is an abundant number, since it is smaller than the sum of its proper divisors (3743805490).

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

2563150400 is a wasteful number, since it uses less digits than its factorization.

2563150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601991 (or 1601976 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2563150400 is about 50627.5656140012. The cubic root of 2563150400 is about 1368.5416844138.

The spelling of 2563150400 in words is "two billion, five hundred sixty-three million, one hundred fifty thousand, four hundred".