2054056000 has 56 divisors (see below), whose sum is σ = 5086889496. Its totient is φ = 821619200.

The previous prime is 2054055947. The next prime is 2054056019. The reversal of 2054056000 is 6504502.

It can be written as a sum of positive squares in 4 ways, for example, as 101123136 + 1952932864 = 10056^2 + 44192^2 .

It is a super-2 number, since 2×2054056000² = 8438292102272000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120379 + ... + 136378.

Almost surely, 2^2054056000 is an apocalyptic number.

2054056000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2054056000 is an abundant number, since it is smaller than the sum of its proper divisors (3032833496).

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

2054056000 is an equidigital number, since it uses as much as digits as its factorization.

2054056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256784 (or 256764 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2054056000 is about 45321.6945843820. The cubic root of 2054056000 is about 1271.1713416652.

The spelling of 2054056000 in words is "two billion, fifty-four million, fifty-six thousand", and thus it is an eban number.