2946352120 has 64 divisors (see below), whose sum is σ = 6722157600. Its totient is φ = 1162106880.

The previous prime is 2946352061. The next prime is 2946352133. The reversal of 2946352120 is 212536492.

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, 1626015 + ... + 1627825.

Almost surely, 2^2946352120 is an apocalyptic number.

2946352120 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 2946352120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361078800).

2946352120 is an abundant number, since it is smaller than the sum of its proper divisors (3775805480).

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

2946352120 is a wasteful number, since it uses less digits than its factorization.

2946352120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2946352120 is about 54280.3106107546. The cubic root of 2946352120 is about 1433.6007387638.

The spelling of 2946352120 in words is "two billion, nine hundred forty-six million, three hundred fifty-two thousand, one hundred twenty".