2245413940 has 144 divisors (see below), whose sum is σ = 5998559616. Its totient is φ = 691004160.

The previous prime is 2245413899. The next prime is 2245413949. The reversal of 2245413940 is 493145422.

It is a junction number, because it is equal to n+sod(n) for n = 2245413896 and 2245413905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245413949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1405222 + ... + 1406818.

It is an arithmetic number, because the mean of its divisors is an integer number (41656664).

Almost surely, 2^2245413940 is an apocalyptic number.

2245413940 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 2245413940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999279808).

2245413940 is an abundant number, since it is smaller than the sum of its proper divisors (3753145676).

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

2245413940 is a wasteful number, since it uses less digits than its factorization.

2245413940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2245413940 is about 47385.7989275268. The cubic root of 2245413940 is about 1309.4798043371.

The spelling of 2245413940 in words is "two billion, two hundred forty-five million, four hundred thirteen thousand, nine hundred forty".