2261858544660 has 768 divisors, whose sum is σ = 7797591244800. Its totient is φ = 482423040000.

The previous prime is 2261858544643. The next prime is 2261858544683. The reversal of 2261858544660 is 664458581622.

It is a self number, because there is not a number n which added to its sum of digits gives 2261858544660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7992432879 + ... + 7992433161.

It is an arithmetic number, because the mean of its divisors is an integer number (10153113600).

Almost surely, 2^{2261858544660} is an apocalyptic number.

2261858544660 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 2261858544660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898795622400).

2261858544660 is an abundant number, since it is smaller than the sum of its proper divisors (5535732700140).

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

2261858544660 is a wasteful number, since it uses less digits than its factorization.

2261858544660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 2261858544660 in words is "two trillion, two hundred sixty-one billion, eight hundred fifty-eight million, five hundred forty-four thousand, six hundred sixty".