2053677600 has 432 divisors, whose sum is σ = 8023127112. Its totient is φ = 491028480.

The previous prime is 2053677599. The next prime is 2053677607. The reversal of 2053677600 is 67763502.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 229704336 + 1823973264 = 15156^2 + 42708^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2053677607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3462904 + ... + 3463496.

Almost surely, 2^2053677600 is an apocalyptic number.

2053677600 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 2053677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011563556).

2053677600 is an abundant number, since it is smaller than the sum of its proper divisors (5969449512).

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

2053677600 is a wasteful number, since it uses less digits than its factorization.

2053677600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 2053677600 is about 45317.5197909153. The cubic root of 2053677600 is about 1271.0932781045.

The spelling of 2053677600 in words is "two billion, fifty-three million, six hundred seventy-seven thousand, six hundred".