2057892480 has 640 divisors, whose sum is σ = 8637425280. Its totient is φ = 457187328.

The previous prime is 2057892433. The next prime is 2057892497. The reversal of 2057892480 is 842987502.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19232587 + ... + 19232693.

It is an arithmetic number, because the mean of its divisors is an integer number (13495977).

Almost surely, 2^2057892480 is an apocalyptic number.

2057892480 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 2057892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318712640).

2057892480 is an abundant number, since it is smaller than the sum of its proper divisors (6579532800).

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

2057892480 is a wasteful number, since it uses less digits than its factorization.

2057892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2057892480 is about 45363.9998236487. Note that the first 3 decimals coincide. The cubic root of 2057892480 is about 1271.9622630314.

The spelling of 2057892480 in words is "two billion, fifty-seven million, eight hundred ninety-two thousand, four hundred eighty".