2049302344320 has 1536 divisors, whose sum is σ = 9175393843200. Its totient is φ = 408964792320.

The previous prime is 2049302344289. The next prime is 2049302344361. The reversal of 2049302344320 is 234432039402.

2049302344320 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 302 + 344 + 3 + 2 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 3639968359 + ... + 3639968921.

It is an arithmetic number, because the mean of its divisors is an integer number (5973563700).

Almost surely, 2^{2049302344320} is an apocalyptic number.

2049302344320 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 2049302344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587696921600).

2049302344320 is an abundant number, since it is smaller than the sum of its proper divisors (7126091498880).

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

2049302344320 is a wasteful number, since it uses less digits than its factorization.

2049302344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 2049302344320 in words is "two trillion, forty-nine billion, three hundred two million, three hundred forty-four thousand, three hundred twenty".