2246508000 has 768 divisors, whose sum is σ = 9359400960. Its totient is φ = 518400000.

The previous prime is 2246507999. The next prime is 2246508023. The reversal of 2246508000 is 8056422.

2246508000 is a `hidden beast` number, since 2 + 2 + 4 + 650 + 8 + 0 + 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 127 ways as a sum of consecutive naturals, for example, 36827970 + ... + 36828030.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^2246508000 is an apocalyptic number.

2246508000 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 2246508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679700480).

2246508000 is an abundant number, since it is smaller than the sum of its proper divisors (7112892960).

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

2246508000 is a wasteful number, since it uses less digits than its factorization.

2246508000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2246508000 is about 47397.3416976100. The cubic root of 2246508000 is about 1309.6924476617.

The spelling of 2246508000 in words is "two billion, two hundred forty-six million, five hundred eight thousand".