2940005376 has 352 divisors, whose sum is σ = 10863183360. Its totient is φ = 763084800.

The previous prime is 2940005353. The next prime is 2940005377. The reversal of 2940005376 is 6735000492.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×2940005376² = 17287263221817802752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2940005376.

It is not an unprimeable number, because it can be changed into a prime (2940005377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128206 + ... + 2129586.

Almost surely, 2^2940005376 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 2940005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431591680).

2940005376 is an abundant number, since it is smaller than the sum of its proper divisors (7923177984).

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

2940005376 is a wasteful number, since it uses less digits than its factorization.

2940005376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2940005376 is about 54221.8164210680. The cubic root of 2940005376 is about 1432.5706245162.

The spelling of 2940005376 in words is "two billion, nine hundred forty million, five thousand, three hundred seventy-six".