2553757680 has 320 divisors, whose sum is σ = 8821149696. Its totient is φ = 608256000.

The previous prime is 2553757639. The next prime is 2553757691. The reversal of 2553757680 is 867573552.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7715115 + ... + 7715445.

Almost surely, 2^2553757680 is an apocalyptic number.

2553757680 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 2553757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410574848).

2553757680 is an abundant number, since it is smaller than the sum of its proper divisors (6267392016).

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

2553757680 is a wasteful number, since it uses less digits than its factorization.

2553757680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The square root of 2553757680 is about 50534.7175711906. The cubic root of 2553757680 is about 1366.8679547529.

The spelling of 2553757680 in words is "two billion, five hundred fifty-three million, seven hundred fifty-seven thousand, six hundred eighty".