2555076420 has 384 divisors, whose sum is σ = 9031680000. Its totient is φ = 595330560.

The previous prime is 2555076413. The next prime is 2555076427. The reversal of 2555076420 is 246705552.

2555076420 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 0 + 7 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2555076413) and next prime (2555076427).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2555076427) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12839481 + ... + 12839679.

It is an arithmetic number, because the mean of its divisors is an integer number (23520000).

Almost surely, 2^2555076420 is an apocalyptic number.

2555076420 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 2555076420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515840000).

2555076420 is an abundant number, since it is smaller than the sum of its proper divisors (6476603580).

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

2555076420 is a wasteful number, since it uses less digits than its factorization.

2555076420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2555076420 is about 50547.7637487555. The cubic root of 2555076420 is about 1367.1031941515.

The spelling of 2555076420 in words is "two billion, five hundred fifty-five million, seventy-six thousand, four hundred twenty".