2345590480 has 40 divisors (see below), whose sum is σ = 5457630600. Its totient is φ = 937525248.

The previous prime is 2345590421. The next prime is 2345590493. The reversal of 2345590480 is 840955432.

It can be written as a sum of positive squares in 4 ways, for example, as 48497296 + 2297093184 = 6964^2 + 47928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102316 + ... + 123124.

It is an arithmetic number, because the mean of its divisors is an integer number (136440765).

Almost surely, 2^2345590480 is an apocalyptic number.

2345590480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345590480 is an abundant number, since it is smaller than the sum of its proper divisors (3112040120).

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

2345590480 is a wasteful number, since it uses less digits than its factorization.

2345590480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22231 (or 22225 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 2345590480 is about 48431.2964930736. The cubic root of 2345590480 is about 1328.6708186110.

The spelling of 2345590480 in words is "two billion, three hundred forty-five million, five hundred ninety thousand, four hundred eighty".