2933201952 has 72 divisors (see below), whose sum is σ = 8392600944. Its totient is φ = 971720064.

The previous prime is 2933201867. The next prime is 2933201959. The reversal of 2933201952 is 2591023392.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2933201952² = 17207347382433220608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2933201959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15703 + ... + 78185.

It is an arithmetic number, because the mean of its divisors is an integer number (116563902).

Almost surely, 2^2933201952 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 2933201952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196300472).

2933201952 is an abundant number, since it is smaller than the sum of its proper divisors (5459398992).

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

2933201952 is a wasteful number, since it uses less digits than its factorization.

2933201952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62662 (or 62651 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2933201952 is about 54159.0431230095. The cubic root of 2933201952 is about 1431.4647407063.

The spelling of 2933201952 in words is "two billion, nine hundred thirty-three million, two hundred one thousand, nine hundred fifty-two".