2933038080 has 528 divisors, whose sum is σ = 12153284640. Its totient is φ = 668860416.

The previous prime is 2933038013. The next prime is 2933038093. The reversal of 2933038080 is 808303392.

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 47 ways as a sum of consecutive naturals, for example, 6773544 + ... + 6773976.

Almost surely, 2^2933038080 is an apocalyptic number.

2933038080 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 2933038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076642320).

2933038080 is an abundant number, since it is smaller than the sum of its proper divisors (9220246560).

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

2933038080 is a wasteful number, since it uses less digits than its factorization.

2933038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2933038080 is about 54157.5302243372. The cubic root of 2933038080 is about 1431.4380825398.

The spelling of 2933038080 in words is "two billion, nine hundred thirty-three million, thirty-eight thousand, eighty".