2220671640 has 128 divisors (see below), whose sum is σ = 7355577600. Its totient is φ = 531832320.

The previous prime is 2220671617. The next prime is 2220671641. The reversal of 2220671640 is 461760222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2220671598 and 2220671607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220671641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99426 + ... + 119694.

It is an arithmetic number, because the mean of its divisors is an integer number (57465450).

Almost surely, 2^2220671640 is an apocalyptic number.

2220671640 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 2220671640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677788800).

2220671640 is an abundant number, since it is smaller than the sum of its proper divisors (5134905960).

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

2220671640 is a wasteful number, since it uses less digits than its factorization.

2220671640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20377 (or 20373 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2220671640 is about 47124.0028011204. The cubic root of 2220671640 is about 1304.6522935599.

The spelling of 2220671640 in words is "two billion, two hundred twenty million, six hundred seventy-one thousand, six hundred forty".