2264146653600 has 864 divisors, whose sum is σ = 8919286097904. Its totient is φ = 536813568000.

The previous prime is 2264146653589. The next prime is 2264146653647. The reversal of 2264146653600 is 63566414622.

It is a happy number.

2264146653600 is a `hidden beast` number, since 2 + 26 + 4 + 14 + 6 + 6 + 5 + 3 + 600 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 337530384 + 2263809123216 = 18372^2 + 1504596^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 349779964 + ... + 349786436.

Almost surely, 2^{2264146653600} is an apocalyptic number.

2264146653600 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 2264146653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459643048952).

2264146653600 is an abundant number, since it is smaller than the sum of its proper divisors (6655139444304).

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

2264146653600 is a wasteful number, since it uses less digits than its factorization.

2264146653600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6650 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2264146653600 in words is "two trillion, two hundred sixty-four billion, one hundred forty-six million, six hundred fifty-three thousand, six hundred".