2562661260 has 144 divisors (see below), whose sum is σ = 8469810720. Its totient is φ = 643138560.

The previous prime is 2562661237. The next prime is 2562661261. The reversal of 2562661260 is 621662652.

2562661260 is a `hidden beast` number, since 2 + 5 + 626 + 6 + 1 + 26 + 0 = 666.

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 (2562661261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147850 + ... + 164270.

It is an arithmetic number, because the mean of its divisors is an integer number (58818130).

Almost surely, 2^2562661260 is an apocalyptic number.

2562661260 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 2562661260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234905360).

2562661260 is an abundant number, since it is smaller than the sum of its proper divisors (5907149460).

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

2562661260 is a wasteful number, since it uses less digits than its factorization.

2562661260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16473 (or 16448 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2562661260 is about 50622.7346159806. The cubic root of 2562661260 is about 1368.4546234456.

The spelling of 2562661260 in words is "two billion, five hundred sixty-two million, six hundred sixty-one thousand, two hundred sixty".