2213641540 has 48 divisors (see below), whose sum is σ = 5132393280. Its totient is φ = 795255680.

The previous prime is 2213641483. The next prime is 2213641603. The reversal of 2213641540 is 451463122.

2213641540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2213641540² = 9800417735227143200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2213641499 and 2213641508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42355 + ... + 78874.

It is an arithmetic number, because the mean of its divisors is an integer number (106924860).

Almost surely, 2^2213641540 is an apocalyptic number.

2213641540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213641540 is an abundant number, since it is smaller than the sum of its proper divisors (2918751740).

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

2213641540 is a wasteful number, since it uses less digits than its factorization.

2213641540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121332 (or 121330 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2213641540 is about 47049.3521740736. The cubic root of 2213641540 is about 1303.2741021494.

The spelling of 2213641540 in words is "two billion, two hundred thirteen million, six hundred forty-one thousand, five hundred forty".