2250990420 has 288 divisors, whose sum is σ = 7859980800. Its totient is φ = 478469376.

The previous prime is 2250990409. The next prime is 2250990449. The reversal of 2250990420 is 240990522.

It is a congruent number.

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, 3295399 + ... + 3296081.

It is an arithmetic number, because the mean of its divisors is an integer number (27291600).

Almost surely, 2^2250990420 is an apocalyptic number.

2250990420 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 2250990420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929990400).

2250990420 is an abundant number, since it is smaller than the sum of its proper divisors (5608990380).

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

2250990420 is a wasteful number, since it uses less digits than its factorization.

2250990420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2250990420 is about 47444.6036973648. The cubic root of 2250990420 is about 1310.5629381363.

The spelling of 2250990420 in words is "two billion, two hundred fifty million, nine hundred ninety thousand, four hundred twenty".