2049762329340 has 288 divisors, whose sum is σ = 6795003452160. Its totient is φ = 459809602560.

The previous prime is 2049762329311. The next prime is 2049762329389. The reversal of 2049762329340 is 439232679402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5758632 + ... + 6104208.

Almost surely, 2^{2049762329340} is an apocalyptic number.

2049762329340 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 2049762329340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397501726080).

2049762329340 is an abundant number, since it is smaller than the sum of its proper divisors (4745241122820).

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

2049762329340 is a wasteful number, since it uses less digits than its factorization.

2049762329340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345673 (or 345660 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 2049762329340 in words is "two trillion, forty-nine billion, seven hundred sixty-two million, three hundred twenty-nine thousand, three hundred forty".