2149057144080 has 1920 divisors, whose sum is σ = 9627079827456. Its totient is φ = 432669081600.

The previous prime is 2149057144043. The next prime is 2149057144123. The reversal of 2149057144080 is 804417509412.

2149057144080 is a `hidden beast` number, since 21 + 49 + 0 + 5 + 71 + 440 + 80 = 666.

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

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, 7758328902 + ... + 7758329178.

Almost surely, 2^{2149057144080} is an apocalyptic number.

2149057144080 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 2149057144080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813539913728).

2149057144080 is an abundant number, since it is smaller than the sum of its proper divisors (7478022683376).

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

2149057144080 is a wasteful number, since it uses less digits than its factorization.

2149057144080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2149057144080 in words is "two trillion, one hundred forty-nine billion, fifty-seven million, one hundred forty-four thousand, eighty".