22541379840 has 1512 divisors, whose sum is σ = 103148027640. Its totient is φ = 4682022912.

The previous prime is 22541379827. The next prime is 22541379851. The reversal of 22541379840 is 4897314522.

22541379840 is a `hidden beast` number, since 22 + 541 + 3 + 7 + 9 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4837480704 + 17703899136 = 69552^2 + 133056^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×22541379840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 777288946 + ... + 777288974.

It is an arithmetic number, because the mean of its divisors is an integer number (68219595).

Almost surely, 2^22541379840 is an apocalyptic number.

22541379840 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 22541379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51574013820).

22541379840 is an abundant number, since it is smaller than the sum of its proper divisors (80606647800).

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

22541379840 is an equidigital number, since it uses as much as digits as its factorization.

22541379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 22541379840 in words is "twenty-two billion, five hundred forty-one million, three hundred seventy-nine thousand, eight hundred forty".