2315421319680 has 1080 divisors, whose sum is σ = 9753893921772. Its totient is φ = 506098188288.

The previous prime is 2315421319609. The next prime is 2315421319723. The reversal of 2315421319680 is 869131245132.

2315421319680 is a `hidden beast` number, since 2 + 3 + 1 + 542 + 13 + 1 + 96 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2224584182016 + 90837137664 = 1491504^2 + 301392^2 .

It is a super-2 number, since 2×2315421319680² (a number of 26 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 597217902 + ... + 597221778.

Almost surely, 2^{2315421319680} is an apocalyptic number.

2315421319680 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 2315421319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876946960886).

2315421319680 is an abundant number, since it is smaller than the sum of its proper divisors (7438472602092).

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

2315421319680 is a wasteful number, since it uses less digits than its factorization.

2315421319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2315421319680 in words is "two trillion, three hundred fifteen billion, four hundred twenty-one million, three hundred nineteen thousand, six hundred eighty".