2131572098240 has 224 divisors, whose sum is σ = 5528079083520. Its totient is φ = 778162176000.

The previous prime is 2131572098239. The next prime is 2131572098251. The reversal of 2131572098240 is 428902751312.

It is a super-3 number, since 3×2131572098240³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2131572098191 and 2131572098200.

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, 339906305 + ... + 339912575.

It is an arithmetic number, because the mean of its divisors is an integer number (24678924480).

Almost surely, 2^{2131572098240} is an apocalyptic number.

2131572098240 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 2131572098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764039541760).

2131572098240 is an abundant number, since it is smaller than the sum of its proper divisors (3396506985280).

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

2131572098240 is a wasteful number, since it uses less digits than its factorization.

2131572098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7211 (or 7201 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 2131572098240 in words is "two trillion, one hundred thirty-one billion, five hundred seventy-two million, ninety-eight thousand, two hundred forty".