21054922240 has 320 divisors, whose sum is σ = 57699164160. Its totient is φ = 7299072000.

The previous prime is 21054922211. The next prime is 21054922283. The reversal of 21054922240 is 4222945012.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77693305 + ... + 77693575.

It is an arithmetic number, because the mean of its divisors is an integer number (180309888).

Almost surely, 2^21054922240 is an apocalyptic number.

21054922240 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 21054922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28849582080).

21054922240 is an abundant number, since it is smaller than the sum of its proper divisors (36644241920).

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

21054922240 is a wasteful number, since it uses less digits than its factorization.

21054922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 21054922240 in words is "twenty-one billion, fifty-four million, nine hundred twenty-two thousand, two hundred forty".