2057425920 has 660 divisors, whose sum is σ = 8301477492. Its totient is φ = 486604800.

The previous prime is 2057425919. The next prime is 2057425933. The reversal of 2057425920 is 295247502.

It is a happy number.

2057425920 is a `hidden beast` number, since 20 + 5 + 7 + 42 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 361304064 + 1696121856 = 19008^2 + 41184^2 .

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 50181100 + ... + 50181140.

Almost surely, 2^2057425920 is an apocalyptic number.

2057425920 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 2057425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150738746).

2057425920 is an abundant number, since it is smaller than the sum of its proper divisors (6244051572).

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

2057425920 is a wasteful number, since it uses less digits than its factorization.

2057425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2057425920 is about 45358.8571284595. The cubic root of 2057425920 is about 1271.8661304470.

The spelling of 2057425920 in words is "two billion, fifty-seven million, four hundred twenty-five thousand, nine hundred twenty".