2201293952 has 216 divisors, whose sum is σ = 5405813595. Its totient is φ = 891770880.

The previous prime is 2201293951. The next prime is 2201293993. The reversal of 2201293952 is 2593921022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 364657216 + 1836636736 = 19096^2 + 42856^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33176.

It is a super-4 number, since 4×2201293952⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2201293951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75906674 + ... + 75906702.

Almost surely, 2^2201293952 is an apocalyptic number.

2201293952 is a gapful number since it is divisible by the number (22) 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 2201293952

2201293952 is an abundant number, since it is smaller than the sum of its proper divisors (3204519643).

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

2201293952 is a wasteful number, since it uses less digits than its factorization.

2201293952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 2201293952 is about 46917.9491452898. The cubic root of 2201293952 is about 1300.8463821655.

The spelling of 2201293952 in words is "two billion, two hundred one million, two hundred ninety-three thousand, nine hundred fifty-two".