2049127747200 has 576 divisors, whose sum is σ = 7721975851200. Its totient is φ = 515966976000.

The previous prime is 2049127747193. The next prime is 2049127747243. The reversal of 2049127747200 is 27477219402.

2049127747200 is a `hidden beast` number, since 2 + 0 + 491 + 27 + 74 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 170173180 + ... + 170185220.

It is an arithmetic number, because the mean of its divisors is an integer number (13406208075).

Almost surely, 2^{2049127747200} is an apocalyptic number.

2049127747200 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 2049127747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860987925600).

2049127747200 is an abundant number, since it is smaller than the sum of its proper divisors (5672848104000).

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

2049127747200 is a wasteful number, since it uses less digits than its factorization.

2049127747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12401 (or 12381 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 2049127747200 in words is "two trillion, forty-nine billion, one hundred twenty-seven million, seven hundred forty-seven thousand, two hundred".