2261405233542 has 128 divisors (see below), whose sum is σ = 5719154918400. Its totient is φ = 580074794496.

The previous prime is 2261405233513. The next prime is 2261405233583. The reversal of 2261405233542 is 2453325041622.

It is a super-2 number, since 2×2261405233542² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2261405233542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56929584 + ... + 56969292.

It is an arithmetic number, because the mean of its divisors is an integer number (44680897800).

Almost surely, 2^{2261405233542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261405233542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859577459200).

2261405233542 is an abundant number, since it is smaller than the sum of its proper divisors (3457749684858).

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

2261405233542 is a wasteful number, since it uses less digits than its factorization.

2261405233542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42590.

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 2261405233542 in words is "two trillion, two hundred sixty-one billion, four hundred five million, two hundred thirty-three thousand, five hundred forty-two".