2260670828700 has 72 divisors (see below), whose sum is σ = 6541265425968. Its totient is φ = 602809502720.

The previous prime is 2260670828693. The next prime is 2260670828833. The reversal of 2260670828700 is 78280760622.

It is a happy number.

It is a super-2 number, since 2×2260670828700² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2260670828700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5001274 + ... + 5434526.

It is an arithmetic number, because the mean of its divisors is an integer number (90850908694).

Almost surely, 2^{2260670828700} is an apocalyptic number.

2260670828700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260670828700 is an abundant number, since it is smaller than the sum of its proper divisors (4280594597268).

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

2260670828700 is a wasteful number, since it uses less digits than its factorization.

2260670828700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450663 (or 450656 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 2260670828700 in words is "two trillion, two hundred sixty billion, six hundred seventy million, eight hundred twenty-eight thousand, seven hundred".