2131739700480 has 1008 divisors, whose sum is σ = 8422348112640. Its totient is φ = 513433976832.

The previous prime is 2131739700451. The next prime is 2131739700509. The reversal of 2131739700480 is 840079371312.

2131739700480 is a `hidden beast` number, since 2 + 1 + 31 + 73 + 9 + 70 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2131739700451) and next prime (2131739700509).

It is a super-2 number, since 2×2131739700480² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 570134451 + ... + 570138189.

It is an arithmetic number, because the mean of its divisors is an integer number (8355504080).

Almost surely, 2^{2131739700480} is an apocalyptic number.

2131739700480 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 2131739700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211174056320).

2131739700480 is an abundant number, since it is smaller than the sum of its proper divisors (6290608412160).

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

2131739700480 is an equidigital number, since it uses as much as digits as its factorization.

2131739700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 2131739700480 in words is "two trillion, one hundred thirty-one billion, seven hundred thirty-nine million, seven hundred thousand, four hundred eighty".