2147242936320 has 768 divisors, whose sum is σ = 7886694816000. Its totient is φ = 553816424448.

The previous prime is 2147242936243. The next prime is 2147242936367. The reversal of 2147242936320 is 236392427412.

2147242936320 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 2 + 4 + 2 + 9 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2147242936320² (a number of 25 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 63 ways as a sum of consecutive naturals, for example, 1295860932 + ... + 1295862588.

It is an arithmetic number, because the mean of its divisors is an integer number (10269133875).

Almost surely, 2^{2147242936320} is an apocalyptic number.

2147242936320 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 2147242936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943347408000).

2147242936320 is an abundant number, since it is smaller than the sum of its proper divisors (5739451879680).

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

2147242936320 is a wasteful number, since it uses less digits than its factorization.

2147242936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2147242936320 in words is "two trillion, one hundred forty-seven billion, two hundred forty-two million, nine hundred thirty-six thousand, three hundred twenty".