2946801312 has 288 divisors, whose sum is σ = 10379940480. Its totient is φ = 772208640.

The previous prime is 2946801271. The next prime is 2946801337. The reversal of 2946801312 is 2131086492.

2946801312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6001387 + ... + 6001877.

It is an arithmetic number, because the mean of its divisors is an integer number (36041460).

Almost surely, 2^2946801312 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 2946801312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189970240).

2946801312 is an abundant number, since it is smaller than the sum of its proper divisors (7433139168).

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

2946801312 is a wasteful number, since it uses less digits than its factorization.

2946801312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2946801312 is about 54284.4481596709. The cubic root of 2946801312 is about 1433.6735892168.

The spelling of 2946801312 in words is "two billion, nine hundred forty-six million, eight hundred one thousand, three hundred twelve".