22261631340 has 384 divisors, whose sum is σ = 73156608000. Its totient is φ = 5015162880.

The previous prime is 22261631323. The next prime is 22261631347. The reversal of 22261631340 is 4313616222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22261631298 and 22261631307.

It is not an unprimeable number, because it can be changed into a prime (22261631347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37164361 + ... + 37164959.

It is an arithmetic number, because the mean of its divisors is an integer number (190512000).

Almost surely, 2^22261631340 is an apocalyptic number.

22261631340 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 22261631340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36578304000).

22261631340 is an abundant number, since it is smaller than the sum of its proper divisors (50894976660).

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

22261631340 is a wasteful number, since it uses less digits than its factorization.

22261631340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 22261631340 in words is "twenty-two billion, two hundred sixty-one million, six hundred thirty-one thousand, three hundred forty".