2553451520 has 88 divisors (see below), whose sum is σ = 6147141000. Its totient is φ = 1017741312.

The previous prime is 2553451519. The next prime is 2553451529. The reversal of 2553451520 is 251543552.

It can be written as a sum of positive squares in 4 ways, for example, as 83759104 + 2469692416 = 9152^2 + 49696^2 .

It is a super-2 number, since 2×2553451520² = 13040229329980620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553451529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1786166 + ... + 1787594.

It is an arithmetic number, because the mean of its divisors is an integer number (69853875).

Almost surely, 2^2553451520 is an apocalyptic number.

2553451520 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 2553451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073570500).

2553451520 is an abundant number, since it is smaller than the sum of its proper divisors (3593689480).

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

2553451520 is a wasteful number, since it uses less digits than its factorization.

2553451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The square root of 2553451520 is about 50531.6882757740. The cubic root of 2553451520 is about 1366.8133297558.

The spelling of 2553451520 in words is "two billion, five hundred fifty-three million, four hundred fifty-one thousand, five hundred twenty".