2557147320 has 768 divisors, whose sum is σ = 11007360000. Its totient is φ = 530385408.

The previous prime is 2557147237. The next prime is 2557147321. The reversal of 2557147320 is 237417552.

2557147320 is a `hidden beast` number, since 2 + 557 + 14 + 73 + 20 = 666.

2557147320 is digitally balanced in base 2, because in such base 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557147321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43341451 + ... + 43341509.

It is an arithmetic number, because the mean of its divisors is an integer number (14332500).

Almost surely, 2^2557147320 is an apocalyptic number.

2557147320 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 2557147320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680000).

2557147320 is an abundant number, since it is smaller than the sum of its proper divisors (8450212680).

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

2557147320 is a wasteful number, since it uses less digits than its factorization.

2557147320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2557147320 is about 50568.2441854569. The cubic root of 2557147320 is about 1367.4724420071.

The spelling of 2557147320 in words is "two billion, five hundred fifty-seven million, one hundred forty-seven thousand, three hundred twenty".