2074949504320 has 448 divisors, whose sum is σ = 6435615670272. Its totient is φ = 617886720000.

The previous prime is 2074949504311. The next prime is 2074949504323. The reversal of 2074949504320 is 234059494702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074949504323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 652293130 + ... + 652296310.

Almost surely, 2^{2074949504320} is an apocalyptic number.

2074949504320 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 2074949504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217807835136).

2074949504320 is an abundant number, since it is smaller than the sum of its proper divisors (4360666165952).

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

2074949504320 is a wasteful number, since it uses less digits than its factorization.

2074949504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 2074949504320 in words is "two trillion, seventy-four billion, nine hundred forty-nine million, five hundred four thousand, three hundred twenty".