2137239276480 has 1792 divisors, whose sum is σ = 10080298782720. Its totient is φ = 417798881280.

The previous prime is 2137239276479. The next prime is 2137239276481. The reversal of 2137239276480 is 846729327312.

It is a happy number.

2137239276480 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 2 + 3 + 92 + 76 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2137239276479) and next prime (2137239276481).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137239276481) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 916089394 + ... + 916091726.

Almost surely, 2^{2137239276480} is an apocalyptic number.

2137239276480 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 2137239276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040149391360).

2137239276480 is an abundant number, since it is smaller than the sum of its proper divisors (7943059506240).

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

2137239276480 is a wasteful number, since it uses less digits than its factorization.

2137239276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2137239276480 in words is "two trillion, one hundred thirty-seven billion, two hundred thirty-nine million, two hundred seventy-six thousand, four hundred eighty".