2139581347200 has 768 divisors, whose sum is σ = 8553518611200. Its totient is φ = 517994496000.

The previous prime is 2139581347177. The next prime is 2139581347271. The reversal of 2139581347200 is 27431859312.

It is a happy number.

2139581347200 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 581 + 3 + 47 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1361922415 + ... + 1361923985.

It is an arithmetic number, because the mean of its divisors is an integer number (11137394025).

Almost surely, 2^{2139581347200} is an apocalyptic number.

2139581347200 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 2139581347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276759305600).

2139581347200 is an abundant number, since it is smaller than the sum of its proper divisors (6413937264000).

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

2139581347200 is a wasteful number, since it uses less digits than its factorization.

2139581347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2139581347200 in words is "two trillion, one hundred thirty-nine billion, five hundred eighty-one million, three hundred forty-seven thousand, two hundred".