2057013000 has 384 divisors, whose sum is σ = 8048401920. Its totient is φ = 464140800.

The previous prime is 2057012999. The next prime is 2057013001. The reversal of 2057013000 is 3107502.

It is an interprime number because it is at equal distance from previous prime (2057012999) and next prime (2057013001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2057013001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6488842 + ... + 6489158.

It is an arithmetic number, because the mean of its divisors is an integer number (20959380).

Almost surely, 2^2057013000 is an apocalyptic number.

2057013000 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 2057013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024200960).

2057013000 is an abundant number, since it is smaller than the sum of its proper divisors (5991388920).

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

2057013000 is a wasteful number, since it uses less digits than its factorization.

2057013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 2057013000 is about 45354.3051980735. The cubic root of 2057013000 is about 1271.7810380191.

The spelling of 2057013000 in words is "two billion, fifty-seven million, thirteen thousand".