2292545206440 has 320 divisors, whose sum is σ = 7745308464960. Its totient is φ = 608195589120.

The previous prime is 2292545206433. The next prime is 2292545206499. The reversal of 2292545206440 is 446025452922.

2292545206440 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 545 + 2 + 0 + 64 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 552019404 + ... + 552023556.

It is an arithmetic number, because the mean of its divisors is an integer number (24204088953).

Almost surely, 2^{2292545206440} is an apocalyptic number.

2292545206440 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 2292545206440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872654232480).

2292545206440 is an abundant number, since it is smaller than the sum of its proper divisors (5452763258520).

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

2292545206440 is a wasteful number, since it uses less digits than its factorization.

2292545206440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2292545206440 in words is "two trillion, two hundred ninety-two billion, five hundred forty-five million, two hundred six thousand, four hundred forty".