2557906380 has 144 divisors (see below), whose sum is σ = 7970586624. Its totient is φ = 663680640.

The previous prime is 2557906361. The next prime is 2557906391. The reversal of 2557906380 is 836097552.

It is a happy number.

2557906380 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 9 + 0 + 638 + 0 = 666.

2557906380 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1615069 + ... + 1616651.

It is an arithmetic number, because the mean of its divisors is an integer number (55351296).

Almost surely, 2^2557906380 is an apocalyptic number.

2557906380 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 2557906380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985293312).

2557906380 is an abundant number, since it is smaller than the sum of its proper divisors (5412680244).

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

2557906380 is a wasteful number, since it uses less digits than its factorization.

2557906380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2557906380 is about 50575.7489316767. The cubic root of 2557906380 is about 1367.6077348176.

The spelling of 2557906380 in words is "two billion, five hundred fifty-seven million, nine hundred six thousand, three hundred eighty".