2944951313280 has 128 divisors (see below), whose sum is σ = 9400780321920. Its totient is φ = 784170190848.

The previous prime is 2944951313257. The next prime is 2944951313309. The reversal of 2944951313280 is 823131594492.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188499 + ... + 2434221.

It is an arithmetic number, because the mean of its divisors is an integer number (73443596265).

Almost surely, 2^{2944951313280} is an apocalyptic number.

2944951313280 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 2944951313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700390160960).

2944951313280 is an abundant number, since it is smaller than the sum of its proper divisors (6455829008640).

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

2944951313280 is a wasteful number, since it uses less digits than its factorization.

2944951313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246428 (or 2246416 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 2944951313280 in words is "two trillion, nine hundred forty-four billion, nine hundred fifty-one million, three hundred thirteen thousand, two hundred eighty".