2229139325952 has 1584 divisors, whose sum is σ = 8663758172160. Its totient is φ = 556288819200.

The previous prime is 2229139325929. The next prime is 2229139325953. The reversal of 2229139325952 is 2595239319222.

2229139325952 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 13 + 9 + 32 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2229139325953) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16036973499 + ... + 16036973637.

Almost surely, 2^{2229139325952} is an apocalyptic number.

2229139325952 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 2229139325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331879086080).

2229139325952 is an abundant number, since it is smaller than the sum of its proper divisors (6434618846208).

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

2229139325952 is an equidigital number, since it uses as much as digits as its factorization.

2229139325952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 193 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 2229139325952 in words is "two trillion, two hundred twenty-nine billion, one hundred thirty-nine million, three hundred twenty-five thousand, nine hundred fifty-two".