2221386972 has 144 divisors (see below), whose sum is σ = 6148251648. Its totient is φ = 622339200.

The previous prime is 2221386917. The next prime is 2221386997. The reversal of 2221386972 is 2796831222.

2221386972 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2221386972³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11275978 + ... + 11276174.

It is an arithmetic number, because the mean of its divisors is an integer number (42696192).

Almost surely, 2^2221386972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221386972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074125824).

2221386972 is an abundant number, since it is smaller than the sum of its proper divisors (3926864676).

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

2221386972 is a wasteful number, since it uses less digits than its factorization.

2221386972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 2221386972 is about 47131.5920800475. The cubic root of 2221386972 is about 1304.7923651981.

The spelling of 2221386972 in words is "two billion, two hundred twenty-one million, three hundred eighty-six thousand, nine hundred seventy-two".