2138737428960 has 384 divisors, whose sum is σ = 7900913664000. Its totient is φ = 480741304320.

The previous prime is 2138737428959. The next prime is 2138737428991. The reversal of 2138737428960 is 698247378312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2138737428894 and 2138737428903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4488241 + ... + 4941839.

It is an arithmetic number, because the mean of its divisors is an integer number (20575296000).

Almost surely, 2^{2138737428960} is an apocalyptic number.

2138737428960 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 2138737428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950456832000).

2138737428960 is an abundant number, since it is smaller than the sum of its proper divisors (5762176235040).

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

2138737428960 is a wasteful number, since it uses less digits than its factorization.

2138737428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453694 (or 453686 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 2138737428960 in words is "two trillion, one hundred thirty-eight billion, seven hundred thirty-seven million, four hundred twenty-eight thousand, nine hundred sixty".