22251939840 has 768 divisors, whose sum is σ = 87838732800. Its totient is φ = 5308416000.

The previous prime is 22251939821. The next prime is 22251939869. The reversal of 22251939840 is 4893915222.

22251939840 is a `hidden beast` number, since 2 + 2 + 2 + 519 + 3 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

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, 147363765 + ... + 147363915.

It is an arithmetic number, because the mean of its divisors is an integer number (114373350).

Almost surely, 2^22251939840 is an apocalyptic number.

22251939840 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 22251939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43919366400).

22251939840 is an abundant number, since it is smaller than the sum of its proper divisors (65586792960).

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

22251939840 is a wasteful number, since it uses less digits than its factorization.

22251939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 22251939840 in words is "twenty-two billion, two hundred fifty-one million, nine hundred thirty-nine thousand, eight hundred forty".