2564015040 has 224 divisors, whose sum is σ = 9521952000. Its totient is φ = 647709696.

The previous prime is 2564015033. The next prime is 2564015081. The reversal of 2564015040 is 405104652.

2564015040 is a `hidden beast` number, since 2 + 5 + 640 + 15 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2564014995 and 2564015013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156351 + ... + 171969.

Almost surely, 2^2564015040 is an apocalyptic number.

2564015040 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 2564015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760976000).

2564015040 is an abundant number, since it is smaller than the sum of its proper divisors (6957936960).

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

2564015040 is a wasteful number, since it uses less digits than its factorization.

2564015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15664 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2564015040 is about 50636.1041155419. The cubic root of 2564015040 is about 1368.6955527225.

Adding to 2564015040 its reverse (405104652), we get a palindrome (2969119692).

The spelling of 2564015040 in words is "two billion, five hundred sixty-four million, fifteen thousand, forty".