2138359940262 has 384 divisors, whose sum is σ = 6012472320000. Its totient is φ = 551424931200.

The previous prime is 2138359940243. The next prime is 2138359940293. The reversal of 2138359940262 is 2620499538312.

2138359940262 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 3 + 599 + 40 + 2 + 6 + 2 = 666.

It is a super-3 number, since 3×2138359940262³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2138359940199 and 2138359940208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 750037137 + ... + 750039987.

It is an arithmetic number, because the mean of its divisors is an integer number (15657480000).

Almost surely, 2^{2138359940262} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138359940262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006236160000).

2138359940262 is an abundant number, since it is smaller than the sum of its proper divisors (3874112379738).

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

2138359940262 is a wasteful number, since it uses less digits than its factorization.

2138359940262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2138359940262 in words is "two trillion, one hundred thirty-eight billion, three hundred fifty-nine million, nine hundred forty thousand, two hundred sixty-two".