2060149291200 has 4032 divisors, whose sum is σ = 10471749765120. Its totient is φ = 383201280000.

The previous prime is 2060149291183. The next prime is 2060149291309. The reversal of 2060149291200 is 21929410602.

2060149291200 is a `hidden beast` number, since 2 + 0 + 60 + 1 + 492 + 91 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 29016187165 + ... + 29016187235.

It is an arithmetic number, because the mean of its divisors is an integer number (2597160160).

Almost surely, 2^{2060149291200} is an apocalyptic number.

2060149291200 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 2060149291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235874882560).

2060149291200 is an abundant number, since it is smaller than the sum of its proper divisors (8411600473920).

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

2060149291200 is a wasteful number, since it uses less digits than its factorization.

2060149291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 2060149291200 in words is "two trillion, sixty billion, one hundred forty-nine million, two hundred ninety-one thousand, two hundred".