2250963000 has 768 divisors, whose sum is σ = 9411292800. Its totient is φ = 494208000.

The previous prime is 2250962999. The next prime is 2250963023. The reversal of 2250963000 is 3690522.

2250963000 = 115³ + 116³ + ... + 309³.

2250963000 is a `hidden beast` number, since 2 + 25 + 0 + 9 + 630 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42470974 + ... + 42471026.

Almost surely, 2^2250963000 is an apocalyptic number.

2250963000 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 2250963000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705646400).

2250963000 is an abundant number, since it is smaller than the sum of its proper divisors (7160329800).

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

2250963000 is a wasteful number, since it uses less digits than its factorization.

2250963000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2250963000 is about 47444.3147278997. The cubic root of 2250963000 is about 1310.5576166592.

The spelling of 2250963000 in words is "two billion, two hundred fifty million, nine hundred sixty-three thousand".