2555766720 has 504 divisors, whose sum is σ = 9789109200. Its totient is φ = 611500032.

The previous prime is 2555766713. The next prime is 2555766727. The reversal of 2555766720 is 276675552.

2555766720 is a `hidden beast` number, since 2 + 5 + 5 + 576 + 6 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2555766713) and next prime (2555766727).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (2555766727) 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, 28716436 + ... + 28716524.

Almost surely, 2^2555766720 is an apocalyptic number.

2555766720 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 2555766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894554600).

2555766720 is an abundant number, since it is smaller than the sum of its proper divisors (7233342480).

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

2555766720 is a wasteful number, since it uses less digits than its factorization.

2555766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 2555766720 is about 50554.5914828713. The cubic root of 2555766720 is about 1367.2262989314.

The spelling of 2555766720 in words is "two billion, five hundred fifty-five million, seven hundred sixty-six thousand, seven hundred twenty".