2262615264 has 432 divisors, whose sum is σ = 8273210400. Its totient is φ = 573640704.

The previous prime is 2262615263. The next prime is 2262615283. The reversal of 2262615264 is 4625162622.

2262615264 is a `hidden beast` number, since 2 + 2 + 626 + 1 + 5 + 26 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262615263) 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, 9880302 + ... + 9880530.

It is an arithmetic number, because the mean of its divisors is an integer number (19150950).

Almost surely, 2^2262615264 is an apocalyptic number.

2262615264 is a gapful number since it is divisible by the number (24) 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 2262615264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136605200).

2262615264 is an abundant number, since it is smaller than the sum of its proper divisors (6010595136).

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

2262615264 is a wasteful number, since it uses less digits than its factorization.

2262615264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 283 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2262615264 is about 47566.9555889380. The cubic root of 2262615264 is about 1312.8151228112.

Adding to 2262615264 its reverse (4625162622), we get a palindrome (6887777886).

The spelling of 2262615264 in words is "two billion, two hundred sixty-two million, six hundred fifteen thousand, two hundred sixty-four".