2946383640 has 128 divisors (see below), whose sum is σ = 9850680000. Its totient is φ = 783350784.

The previous prime is 2946383621. The next prime is 2946383677. The reversal of 2946383640 is 463836492.

2946383640 is a `hidden beast` number, since 2 + 9 + 4 + 638 + 3 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373012 + ... + 380828.

Almost surely, 2^2946383640 is an apocalyptic number.

2946383640 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 2946383640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925340000).

2946383640 is an abundant number, since it is smaller than the sum of its proper divisors (6904296360).

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

2946383640 is a wasteful number, since it uses less digits than its factorization.

2946383640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2946383640 is about 54280.6009546689. The cubic root of 2946383640 is about 1433.6058509536.

The spelling of 2946383640 in words is "two billion, nine hundred forty-six million, three hundred eighty-three thousand, six hundred forty".