2261819804760 has 128 divisors (see below), whose sum is σ = 7634835072000. Its totient is φ = 595517090688.

The previous prime is 2261819804747. The next prime is 2261819804789. The reversal of 2261819804760 is 674089181622.

It is a happy number.

2261819804760 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 81 + 98 + 0 + 476 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2261819804697 and 2261819804706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13169602 + ... + 13340241.

It is an arithmetic number, because the mean of its divisors is an integer number (59647149000).

Almost surely, 2^{2261819804760} is an apocalyptic number.

2261819804760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261819804760 is an abundant number, since it is smaller than the sum of its proper divisors (5373015267240).

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

2261819804760 is a wasteful number, since it uses less digits than its factorization.

2261819804760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26509942 (or 26509932 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2261819804760 in words is "two trillion, two hundred sixty-one billion, eight hundred nineteen million, eight hundred four thousand, seven hundred sixty".