2138642285472 has 2304 divisors, whose sum is σ = 8730247680000. Its totient is φ = 506975293440.

The previous prime is 2138642285459. The next prime is 2138642285603. The reversal of 2138642285472 is 2745822468312.

2138642285472 is a `hidden beast` number, since 2 + 1 + 38 + 6 + 42 + 28 + 547 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29296469628 + ... + 29296469700.

It is an arithmetic number, because the mean of its divisors is an integer number (3789170000).

Almost surely, 2^{2138642285472} is an apocalyptic number.

2138642285472 is a gapful number since it is divisible by the number (22) 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 2138642285472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365123840000).

2138642285472 is an abundant number, since it is smaller than the sum of its proper divisors (6591605394528).

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

2138642285472 is a wasteful number, since it uses less digits than its factorization.

2138642285472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 158 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 2138642285472 in words is "two trillion, one hundred thirty-eight billion, six hundred forty-two million, two hundred eighty-five thousand, four hundred seventy-two".