2055407200 has 288 divisors, whose sum is σ = 6370092288. Its totient is φ = 628992000.

The previous prime is 2055407177. The next prime is 2055407273. The reversal of 2055407200 is 27045502.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3757327 + ... + 3757873.

It is an arithmetic number, because the mean of its divisors is an integer number (22118376).

Almost surely, 2^2055407200 is an apocalyptic number.

2055407200 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 2055407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185046144).

2055407200 is an abundant number, since it is smaller than the sum of its proper divisors (4314685088).

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

2055407200 is a wasteful number, since it uses less digits than its factorization.

2055407200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 2055407200 is about 45336.5989019909. The cubic root of 2055407200 is about 1271.4500147278.

The spelling of 2055407200 in words is "two billion, fifty-five million, four hundred seven thousand, two hundred".