2225387520 has 240 divisors, whose sum is σ = 7979451480. Its totient is φ = 593215488.

The previous prime is 2225387519. The next prime is 2225387531. The reversal of 2225387520 is 257835222.

It is a happy number.

2225387520 is a `hidden beast` number, since 2 + 2 + 2 + 53 + 87 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2225387520² = 9904699228343500800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 828099 + ... + 830781.

Almost surely, 2^2225387520 is an apocalyptic number.

2225387520 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 2225387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989725740).

2225387520 is an abundant number, since it is smaller than the sum of its proper divisors (5754063960).

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

2225387520 is an equidigital number, since it uses as much as digits as its factorization.

2225387520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2225387520 is about 47174.0131852273. The cubic root of 2225387520 is about 1305.5751725383.

The spelling of 2225387520 in words is "two billion, two hundred twenty-five million, three hundred eighty-seven thousand, five hundred twenty".