2345749560 has 576 divisors, whose sum is σ = 9834552000. Its totient is φ = 484323840.

The previous prime is 2345749559. The next prime is 2345749579. The reversal of 2345749560 is 659475432.

2345749560 is a `hidden beast` number, since 2 + 3 + 45 + 7 + 49 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14941002 + ... + 14941158.

It is an arithmetic number, because the mean of its divisors is an integer number (17073875).

Almost surely, 2^2345749560 is an apocalyptic number.

2345749560 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 2345749560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917276000).

2345749560 is an abundant number, since it is smaller than the sum of its proper divisors (7488802440).

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

2345749560 is a wasteful number, since it uses less digits than its factorization.

2345749560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 2345749560 is about 48432.9387916942. The cubic root of 2345749560 is about 1328.7008551380.

The spelling of 2345749560 in words is "two billion, three hundred forty-five million, seven hundred forty-nine thousand, five hundred sixty".