2564814240 has 96 divisors (see below), whose sum is σ = 8976864960. Its totient is φ = 683949312.

The previous prime is 2564814229. The next prime is 2564814253. The reversal of 2564814240 is 424184652.

2564814240 is a `hidden beast` number, since 2 + 5 + 648 + 1 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2564814195 and 2564814204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292534 + ... + 301173.

It is an arithmetic number, because the mean of its divisors is an integer number (93509010).

Almost surely, 2^2564814240 is an apocalyptic number.

2564814240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564814240 is an abundant number, since it is smaller than the sum of its proper divisors (6412050720).

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

2564814240 is a wasteful number, since it uses less digits than its factorization.

2564814240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593731 (or 593717 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2564814240 is about 50643.9951030722. The cubic root of 2564814240 is about 1368.8377447971.

Adding to 2564814240 its reverse (424184652), we get a palindrome (2988998892).

The spelling of 2564814240 in words is "two billion, five hundred sixty-four million, eight hundred fourteen thousand, two hundred forty".