2555527968 has 432 divisors, whose sum is σ = 9254437920. Its totient is φ = 689762304.

The previous prime is 2555527967. The next prime is 2555527979. The reversal of 2555527968 is 8697255552.

It is a happy number.

2555527968 is a `hidden beast` number, since 2 + 5 + 55 + 527 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2555527967) 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, 7239280 + ... + 7239632.

It is an arithmetic number, because the mean of its divisors is an integer number (21422310).

Almost surely, 2^2555527968 is an apocalyptic number.

2555527968 is a gapful number since it is divisible by the number (28) 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 2555527968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627218960).

2555527968 is an abundant number, since it is smaller than the sum of its proper divisors (6698909952).

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

2555527968 is a wasteful number, since it uses less digits than its factorization.

2555527968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 384 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The square root of 2555527968 is about 50552.2300991756. The cubic root of 2555527968 is about 1367.1837235565.

The spelling of 2555527968 in words is "two billion, five hundred fifty-five million, five hundred twenty-seven thousand, nine hundred sixty-eight".