2131615498320 has 1920 divisors, whose sum is σ = 9871360192512. Its totient is φ = 413857382400.

The previous prime is 2131615498319. The next prime is 2131615498333. The reversal of 2131615498320 is 238945161312.

2131615498320 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 6 + 1 + 549 + 83 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5369308362 + ... + 5369308758.

Almost surely, 2^{2131615498320} is an apocalyptic number.

2131615498320 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 2131615498320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935680096256).

2131615498320 is an abundant number, since it is smaller than the sum of its proper divisors (7739744694192).

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

2131615498320 is a wasteful number, since it uses less digits than its factorization.

2131615498320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 653 counting only the distinct ones).

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

The spelling of 2131615498320 in words is "two trillion, one hundred thirty-one billion, six hundred fifteen million, four hundred ninety-eight thousand, three hundred twenty".