2261966908640 has 48 divisors (see below), whose sum is σ = 5344027154928. Its totient is φ = 904764696576.

The previous prime is 2261966908633. The next prime is 2261966908703. The reversal of 2261966908640 is 468096691622.

It is a self number, because there is not a number n which added to its sum of digits gives 2261966908640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7461464 + ... + 7758696.

It is an arithmetic number, because the mean of its divisors is an integer number (111333899061).

Almost surely, 2^{2261966908640} is an apocalyptic number.

2261966908640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261966908640 is an abundant number, since it is smaller than the sum of its proper divisors (3082060246288).

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

2261966908640 is a wasteful number, since it uses less digits than its factorization.

2261966908640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344811 (or 344803 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 59.

The spelling of 2261966908640 in words is "two trillion, two hundred sixty-one billion, nine hundred sixty-six million, nine hundred eight thousand, six hundred forty".