2049332920992 has 960 divisors, whose sum is σ = 7302858393600. Its totient is φ = 551432448000.

The previous prime is 2049332920969. The next prime is 2049332920997. The reversal of 2049332920992 is 2990292339402.

2049332920992 is a `hidden beast` number, since 20 + 4 + 9 + 3 + 329 + 209 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2049332920997) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7792140253 + ... + 7792140515.

It is an arithmetic number, because the mean of its divisors is an integer number (7607144160).

Almost surely, 2^{2049332920992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2049332920992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651429196800).

2049332920992 is an abundant number, since it is smaller than the sum of its proper divisors (5253525472608).

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

2049332920992 is a wasteful number, since it uses less digits than its factorization.

2049332920992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 2049332920992 in words is "two trillion, forty-nine billion, three hundred thirty-two million, nine hundred twenty thousand, nine hundred ninety-two".