2225762400 has 216 divisors, whose sum is σ = 7698491640. Its totient is φ = 558448640.

The previous prime is 2225762393. The next prime is 2225762419. The reversal of 2225762400 is 42675222.

It is a super-2 number, since 2×2225762400² = 9908036522507520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 691996 + ... + 695204.

It is an arithmetic number, because the mean of its divisors is an integer number (35641165).

Almost surely, 2^2225762400 is an apocalyptic number.

2225762400 is a gapful number since it is divisible by the number (20) 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 2225762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849245820).

2225762400 is an abundant number, since it is smaller than the sum of its proper divisors (5472729240).

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

2225762400 is a wasteful number, since it uses less digits than its factorization.

2225762400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2225762400 is about 47177.9863919604. The cubic root of 2225762400 is about 1305.6484791026.

The spelling of 2225762400 in words is "two billion, two hundred twenty-five million, seven hundred sixty-two thousand, four hundred".