2563964928 has 408 divisors, whose sum is σ = 9160290048. Its totient is φ = 700710912.

The previous prime is 2563964927. The next prime is 2563964981. The reversal of 2563964928 is 8294693652.

It is a happy number.

2563964928 is a `hidden beast` number, since 2 + 5 + 63 + 96 + 492 + 8 = 666.

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 (2563964927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111476725 + ... + 111476747.

Almost surely, 2^2563964928 is an apocalyptic number.

2563964928 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 2563964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580145024).

2563964928 is an abundant number, since it is smaller than the sum of its proper divisors (6596325120).

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

2563964928 is an frugal number, since it uses more digits than its factorization.

2563964928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 35 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 2563964928 is about 50635.6092883259. The cubic root of 2563964928 is about 1368.6866359108.

The spelling of 2563964928 in words is "two billion, five hundred sixty-three million, nine hundred sixty-four thousand, nine hundred twenty-eight".