2053458400 has 288 divisors, whose sum is σ = 6074611200. Its totient is φ = 662661120.

The previous prime is 2053458397. The next prime is 2053458403. The reversal of 2053458400 is 48543502.

It is an interprime number because it is at equal distance from previous prime (2053458397) and next prime (2053458403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053458403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13781526 + ... + 13781674.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 2^2053458400 is an apocalyptic number.

2053458400 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 2053458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037305600).

2053458400 is an abundant number, since it is smaller than the sum of its proper divisors (4021152800).

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

2053458400 is a wasteful number, since it uses less digits than its factorization.

2053458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 2053458400 is about 45315.1012356808. The cubic root of 2053458400 is about 1271.0480529662.

The spelling of 2053458400 in words is "two billion, fifty-three million, four hundred fifty-eight thousand, four hundred".