22742267904 has 288 divisors, whose sum is σ = 67727696400. Its totient is φ = 7349207040.

The previous prime is 22742267887. The next prime is 22742267921. The reversal of 22742267904 is 40976224722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22742267887) and next prime (22742267921).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 22742267904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127051687 + ... + 127051865.

Almost surely, 2^22742267904 is an apocalyptic number.

22742267904 is a gapful number since it is divisible by the number (24) 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 22742267904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33863848200).

22742267904 is an abundant number, since it is smaller than the sum of its proper divisors (44985428496).

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

22742267904 is a wasteful number, since it uses less digits than its factorization.

22742267904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 22742267904 in words is "twenty-two billion, seven hundred forty-two million, two hundred sixty-seven thousand, nine hundred four".