2262705408 has 288 divisors, whose sum is σ = 7166100480. Its totient is φ = 702535680.

The previous prime is 2262705397. The next prime is 2262705427. The reversal of 2262705408 is 8045072622.

2262705408 is a `hidden beast` number, since 22 + 627 + 0 + 5 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 6835803 + ... + 6836133.

Almost surely, 2^2262705408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583050240).

2262705408 is an abundant number, since it is smaller than the sum of its proper divisors (4903395072).

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

2262705408 is a wasteful number, since it uses less digits than its factorization.

2262705408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2262705408 is about 47567.9031280547. The cubic root of 2262705408 is about 1312.8325570368.

The spelling of 2262705408 in words is "two billion, two hundred sixty-two million, seven hundred five thousand, four hundred eight".