2225842640 has 240 divisors, whose sum is σ = 6448730112. Its totient is φ = 709890048.

The previous prime is 2225842637. The next prime is 2225842651. The reversal of 2225842640 is 462485222.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2225842640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8463149 + ... + 8463411.

Almost surely, 2^2225842640 is an apocalyptic number.

2225842640 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 2225842640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224365056).

2225842640 is an abundant number, since it is smaller than the sum of its proper divisors (4222887472).

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

2225842640 is a wasteful number, since it uses less digits than its factorization.

2225842640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 2225842640 is about 47178.8367809127. The cubic root of 2225842640 is about 1305.6641687041.

The spelling of 2225842640 in words is "two billion, two hundred twenty-five million, eight hundred forty-two thousand, six hundred forty".