2309744640 has 384 divisors, whose sum is σ = 8831047680. Its totient is φ = 503906304.

The previous prime is 2309744629. The next prime is 2309744651. The reversal of 2309744640 is 464479032.

It is an interprime number because it is at equal distance from previous prime (2309744629) and next prime (2309744651).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 4945687 + ... + 4946153.

It is an arithmetic number, because the mean of its divisors is an integer number (22997520).

Almost surely, 2^2309744640 is an apocalyptic number.

2309744640 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 2309744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415523840).

2309744640 is an abundant number, since it is smaller than the sum of its proper divisors (6521303040).

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

2309744640 is a wasteful number, since it uses less digits than its factorization.

2309744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2309744640 is about 48059.8027461620. The cubic root of 2309744640 is about 1321.8676958725.

The spelling of 2309744640 in words is "two billion, three hundred nine million, seven hundred forty-four thousand, six hundred forty".