2245001640 has 384 divisors, whose sum is σ = 8533693440. Its totient is φ = 469131264.

The previous prime is 2245001599. The next prime is 2245001651. The reversal of 2245001640 is 461005422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2245001640.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3698217 + ... + 3698823.

It is an arithmetic number, because the mean of its divisors is an integer number (22223160).

Almost surely, 2^2245001640 is an apocalyptic number.

2245001640 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 2245001640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266846720).

2245001640 is an abundant number, since it is smaller than the sum of its proper divisors (6288691800).

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

2245001640 is a wasteful number, since it uses less digits than its factorization.

2245001640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2245001640 is about 47381.4482682832. The cubic root of 2245001640 is about 1309.3996511024.

The spelling of 2245001640 in words is "two billion, two hundred forty-five million, one thousand, six hundred forty".