2056415200 has 144 divisors (see below), whose sum is σ = 6075173664. Its totient is φ = 663552000.

The previous prime is 2056415197. The next prime is 2056415209. The reversal of 2056415200 is 25146502.

It is a super-3 number, since 3×2056415200³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056415209) 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, 84400 + ... + 106000.

It is an arithmetic number, because the mean of its divisors is an integer number (42188706).

Almost surely, 2^2056415200 is an apocalyptic number.

2056415200 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 2056415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037586832).

2056415200 is an abundant number, since it is smaller than the sum of its proper divisors (4018758464).

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

2056415200 is a wasteful number, since it uses less digits than its factorization.

2056415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21645 (or 21632 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2056415200 is about 45347.7143856226. The cubic root of 2056415200 is about 1271.6578262933.

The spelling of 2056415200 in words is "two billion, fifty-six million, four hundred fifteen thousand, two hundred".