2564054240 has 216 divisors, whose sum is σ = 7120118376. Its totient is φ = 865177600.

The previous prime is 2564054239. The next prime is 2564054243. The reversal of 2564054240 is 424504652.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2564054197 and 2564054206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564054243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36113405 + ... + 36113475.

It is an arithmetic number, because the mean of its divisors is an integer number (32963511).

Almost surely, 2^2564054240 is an apocalyptic number.

2564054240 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 2564054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560059188).

2564054240 is an abundant number, since it is smaller than the sum of its proper divisors (4556064136).

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

2564054240 is a wasteful number, since it uses less digits than its factorization.

2564054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 2564054240 is about 50636.4911896549. The cubic root of 2564054240 is about 1368.7025277976.

Adding to 2564054240 its reverse (424504652), we get a palindrome (2988558892).

The spelling of 2564054240 in words is "two billion, five hundred sixty-four million, fifty-four thousand, two hundred forty".