2553320000 has 280 divisors, whose sum is σ = 7903220160. Its totient is φ = 794880000.

The previous prime is 2553319987. The next prime is 2553320009. The reversal of 2553320000 is 233552.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2553320009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3079586 + ... + 3080414.

Almost surely, 2^2553320000 is an apocalyptic number.

2553320000 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 2553320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951610080).

2553320000 is an abundant number, since it is smaller than the sum of its proper divisors (5349900160).

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

2553320000 is an equidigital number, since it uses as much as digits as its factorization.

2553320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 2553320000 is about 50530.3868973908. The cubic root of 2553320000 is about 1366.7898626468.

Adding to 2553320000 its reverse (233552), we get a palindrome (2553553552).

The spelling of 2553320000 in words is "two billion, five hundred fifty-three million, three hundred twenty thousand".