2939814000 has 480 divisors, whose sum is σ = 11153286144. Its totient is φ = 747014400.

The previous prime is 2939813957. The next prime is 2939814061. The reversal of 2939814000 is 4189392.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11177869 + ... + 11178131.

Almost surely, 2^2939814000 is an apocalyptic number.

2939814000 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 2939814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576643072).

2939814000 is an abundant number, since it is smaller than the sum of its proper divisors (8213472144).

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

2939814000 is a wasteful number, since it uses less digits than its factorization.

2939814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2939814000 is about 54220.0516414361. The cubic root of 2939814000 is about 1432.5395400396.

The spelling of 2939814000 in words is "two billion, nine hundred thirty-nine million, eight hundred fourteen thousand".