2295101952 has 560 divisors, whose sum is σ = 8265283488. Its totient is φ = 627056640.

The previous prime is 2295101927. The next prime is 2295101993. The reversal of 2295101952 is 2591015922.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53374443 + ... + 53374485.

Almost surely, 2^2295101952 is an apocalyptic number.

2295101952 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 2295101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132641744).

2295101952 is an abundant number, since it is smaller than the sum of its proper divisors (5970181536).

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

2295101952 is an equidigital number, since it uses as much as digits as its factorization.

2295101952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 2295101952 is about 47907.2223365121. Note that the first 3 decimals coincide. The cubic root of 2295101952 is about 1319.0684336275.

The spelling of 2295101952 in words is "two billion, two hundred ninety-five million, one hundred one thousand, nine hundred fifty-two".