2328293602440 has 1536 divisors, whose sum is σ = 9034841088000. Its totient is φ = 515579904000.

The previous prime is 2328293602361. The next prime is 2328293602483. The reversal of 2328293602440 is 442063928232.

2328293602440 is a `hidden beast` number, since 2 + 3 + 28 + 29 + 360 + 244 + 0 = 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 383 ways as a sum of consecutive naturals, for example, 15626131486 + ... + 15626131634.

It is an arithmetic number, because the mean of its divisors is an integer number (5882058000).

Almost surely, 2^{2328293602440} is an apocalyptic number.

2328293602440 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 2328293602440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517420544000).

2328293602440 is an abundant number, since it is smaller than the sum of its proper divisors (6706547485560).

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

2328293602440 is a wasteful number, since it uses less digits than its factorization.

2328293602440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2328293602440 in words is "two trillion, three hundred twenty-eight billion, two hundred ninety-three million, six hundred two thousand, four hundred forty".