2557507420 has 72 divisors (see below), whose sum is σ = 5829984720. Its totient is φ = 941990400.

The previous prime is 2557507399. The next prime is 2557507427. The reversal of 2557507420 is 247057552.

2557507420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2557507420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557507427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2030751 + ... + 2032009.

It is an arithmetic number, because the mean of its divisors is an integer number (80972010).

Almost surely, 2^2557507420 is an apocalyptic number.

2557507420 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 2557507420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914992360).

2557507420 is an abundant number, since it is smaller than the sum of its proper divisors (3272477300).

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

2557507420 is a wasteful number, since it uses less digits than its factorization.

2557507420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 37.

The square root of 2557507420 is about 50571.8045950508. The cubic root of 2557507420 is about 1367.5366285989.

The spelling of 2557507420 in words is "two billion, five hundred fifty-seven million, five hundred seven thousand, four hundred twenty".