2260506009600 has 840 divisors, whose sum is σ = 8571413250840. Its totient is φ = 588597166080.

The previous prime is 2260506009599. The next prime is 2260506009647. The reversal of 2260506009600 is 69006050622.

2260506009600 is a `hidden beast` number, since 2 + 2 + 60 + 506 + 0 + 0 + 96 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 713316816 + ... + 713319984.

Almost surely, 2^{2260506009600} is an apocalyptic number.

2260506009600 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 2260506009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285706625420).

2260506009600 is an abundant number, since it is smaller than the sum of its proper divisors (6310907241240).

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

2260506009600 is an equidigital number, since it uses as much as digits as its factorization.

2260506009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2260506009600 in words is "two trillion, two hundred sixty billion, five hundred six million, nine thousand, six hundred".