2562513408 has 600 divisors, whose sum is σ = 9680325732. Its totient is φ = 668860416.

The previous prime is 2562513397. The next prime is 2562513409. The reversal of 2562513408 is 8043152652.

2562513408 is a `hidden beast` number, since 2 + 562 + 51 + 3 + 40 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2439569664 + 122943744 = 49392^2 + 11088^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2562513409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26417616 + ... + 26417712.

Almost surely, 2^2562513408 is an apocalyptic number.

2562513408 is a gapful number since it is divisible by the number (28) 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 2562513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840162866).

2562513408 is an abundant number, since it is smaller than the sum of its proper divisors (7117812324).

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

2562513408 is an equidigital number, since it uses as much as digits as its factorization.

2562513408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2562513408 is about 50621.2742629025. The cubic root of 2562513408 is about 1368.4283054083.

The spelling of 2562513408 in words is "two billion, five hundred sixty-two million, five hundred thirteen thousand, four hundred eight".