2053783200 has 288 divisors, whose sum is σ = 7820499456. Its totient is φ = 458357760.

The previous prime is 2053783177. The next prime is 2053783247. The reversal of 2053783200 is 23873502.

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

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, 720979 + ... + 723821.

It is an arithmetic number, because the mean of its divisors is an integer number (27154512).

Almost surely, 2^2053783200 is an apocalyptic number.

2053783200 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 2053783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910249728).

2053783200 is an abundant number, since it is smaller than the sum of its proper divisors (5766716256).

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

2053783200 is a wasteful number, since it uses less digits than its factorization.

2053783200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2053783200 is about 45318.6848882445. The cubic root of 2053783200 is about 1271.1150642487.

The spelling of 2053783200 in words is "two billion, fifty-three million, seven hundred eighty-three thousand, two hundred".