22251501540 has 288 divisors, whose sum is σ = 73617223680. Its totient is φ = 5421572352.

The previous prime is 22251501523. The next prime is 22251501581. The reversal of 22251501540 is 4510515222.

22251501540 is a `hidden beast` number, since 2 + 22 + 51 + 50 + 1 + 540 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12205069 + ... + 12206891.

It is an arithmetic number, because the mean of its divisors is an integer number (255615360).

Almost surely, 2^22251501540 is an apocalyptic number.

22251501540 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 22251501540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36808611840).

22251501540 is an abundant number, since it is smaller than the sum of its proper divisors (51365722140).

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

22251501540 is a wasteful number, since it uses less digits than its factorization.

22251501540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 22251501540 in words is "twenty-two billion, two hundred fifty-one million, five hundred one thousand, five hundred forty".