2945826693120 has 448 divisors, whose sum is σ = 10153488236544. Its totient is φ = 727138959360.

The previous prime is 2945826693067. The next prime is 2945826693167. The reversal of 2945826693120 is 213966285492.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87596629 + ... + 87630251.

Almost surely, 2^{2945826693120} is an apocalyptic number.

2945826693120 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 2945826693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076744118272).

2945826693120 is an abundant number, since it is smaller than the sum of its proper divisors (7207661543424).

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

2945826693120 is a wasteful number, since it uses less digits than its factorization.

2945826693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33711 (or 33687 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 2945826693120 in words is "two trillion, nine hundred forty-five billion, eight hundred twenty-six million, six hundred ninety-three thousand, one hundred twenty".