2552549760 has 224 divisors, whose sum is σ = 9150770880. Its totient is φ = 680555520.

The previous prime is 2552549749. The next prime is 2552549761. The reversal of 2552549760 is 679452552.

2552549760 is a `hidden beast` number, since 2 + 552 + 5 + 4 + 97 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552549761) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 463825 + ... + 469295.

Almost surely, 2^2552549760 is an apocalyptic number.

2552549760 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 2552549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575385440).

2552549760 is an abundant number, since it is smaller than the sum of its proper divisors (6598221120).

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

2552549760 is an frugal number, since it uses more digits than its factorization.

2552549760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 2552549760 is about 50522.7647699530. The cubic root of 2552549760 is about 1366.6524125686.

The spelling of 2552549760 in words is "two billion, five hundred fifty-two million, five hundred forty-nine thousand, seven hundred sixty".