2053178400 has 864 divisors, whose sum is σ = 8976925440. Its totient is φ = 402554880.

The previous prime is 2053178377. The next prime is 2053178401. The reversal of 2053178400 is 48713502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2053178401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25989561 + ... + 25989639.

It is an arithmetic number, because the mean of its divisors is an integer number (10389960).

Almost surely, 2^2053178400 is an apocalyptic number.

2053178400 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 2053178400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488462720).

2053178400 is an abundant number, since it is smaller than the sum of its proper divisors (6923747040).

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

2053178400 is a wasteful number, since it uses less digits than its factorization.

2053178400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2053178400 is about 45312.0116525409. The cubic root of 2053178400 is about 1270.9902789475.

The spelling of 2053178400 in words is "two billion, fifty-three million, one hundred seventy-eight thousand, four hundred".