2225405952 has 408 divisors, whose sum is σ = 8178830400. Its totient is φ = 578027520.

The previous prime is 2225405947. The next prime is 2225405957. The reversal of 2225405952 is 2595045222.

It is a happy number.

2225405952 is a `hidden beast` number, since 2 + 2 + 25 + 40 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2225405947) and next prime (2225405957).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225405957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202309627 + ... + 202309637.

Almost surely, 2^2225405952 is an apocalyptic number.

2225405952 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 2225405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089415200).

2225405952 is an abundant number, since it is smaller than the sum of its proper divisors (5953424448).

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

2225405952 is an frugal number, since it uses more digits than its factorization.

2225405952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2225405952 is about 47174.2085466200. The cubic root of 2225405952 is about 1305.5787770483.

The spelling of 2225405952 in words is "two billion, two hundred twenty-five million, four hundred five thousand, nine hundred fifty-two".