2225371440 has 160 divisors (see below), whose sum is σ = 7321674240. Its totient is φ = 557928448.

The previous prime is 2225371427. The next prime is 2225371441. The reversal of 2225371440 is 441735222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2225371398 and 2225371407.

It is not an unprimeable number, because it can be changed into a prime (2225371441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322264 + ... + 329096.

It is an arithmetic number, because the mean of its divisors is an integer number (45760464).

Almost surely, 2^2225371440 is an apocalyptic number.

2225371440 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 2225371440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660837120).

2225371440 is an abundant number, since it is smaller than the sum of its proper divisors (5096302800).

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

2225371440 is a wasteful number, since it uses less digits than its factorization.

2225371440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6925 counting only the distinct ones).

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

The square root of 2225371440 is about 47173.8427521015. The cubic root of 2225371440 is about 1305.5720279624.

The spelling of 2225371440 in words is "two billion, two hundred twenty-five million, three hundred seventy-one thousand, four hundred forty".