2315600146640 has 160 divisors (see below), whose sum is σ = 5913956482560. Its totient is φ = 836199936000.

The previous prime is 2315600146633. The next prime is 2315600146693. The reversal of 2315600146640 is 466410065132.

It is a junction number, because it is equal to n+sod(n) for n = 2315600146594 and 2315600146603.

It is a congruent number.

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, 324810596 + ... + 324817724.

It is an arithmetic number, because the mean of its divisors is an integer number (36962228016).

Almost surely, 2^{2315600146640} is an apocalyptic number.

2315600146640 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 2315600146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956978241280).

2315600146640 is an abundant number, since it is smaller than the sum of its proper divisors (3598356335920).

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

2315600146640 is a wasteful number, since it uses less digits than its factorization.

2315600146640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9661 (or 9655 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 2315600146640 in words is "two trillion, three hundred fifteen billion, six hundred million, one hundred forty-six thousand, six hundred forty".