2562206240 has 192 divisors, whose sum is σ = 7004672640. Its totient is φ = 875888640.

The previous prime is 2562206239. The next prime is 2562206261. The reversal of 2562206240 is 426022652.

2562206240 = T₅₀₅₆ + T₅₀₅₇ + ... + T₅₂₄₈.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 6453722 + ... + 6454118.

It is an arithmetic number, because the mean of its divisors is an integer number (36482670).

Almost surely, 2^2562206240 is an apocalyptic number.

2562206240 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 2562206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502336320).

2562206240 is an abundant number, since it is smaller than the sum of its proper divisors (4442466400).

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

2562206240 is a wasteful number, since it uses less digits than its factorization.

2562206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2562206240 is about 50618.2401906664. The cubic root of 2562206240 is about 1368.3736254756.

Adding to 2562206240 its reverse (426022652), we get a palindrome (2988228892).

It can be divided in two parts, 2562 and 206240, that added together give a palindrome (208802).

The spelling of 2562206240 in words is "two billion, five hundred sixty-two million, two hundred six thousand, two hundred forty".