2137530445440 has 256 divisors, whose sum is σ = 7535797960320. Its totient is φ = 511940542464.

The previous prime is 2137530445363. The next prime is 2137530445447. The reversal of 2137530445440 is 445440357312.

It is a junction number, because it is equal to n+sod(n) for n = 2137530445392 and 2137530445401.

It is not an unprimeable number, because it can be changed into a prime (2137530445447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233754 + ... + 2080793.

Almost surely, 2^{2137530445440} is an apocalyptic number.

2137530445440 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 2137530445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767898980160).

2137530445440 is an abundant number, since it is smaller than the sum of its proper divisors (5398267514880).

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

2137530445440 is a wasteful number, since it uses less digits than its factorization.

2137530445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314619 (or 2314607 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 2137530445440 in words is "two trillion, one hundred thirty-seven billion, five hundred thirty million, four hundred forty-five thousand, four hundred forty".