2261872640 has 104 divisors (see below), whose sum is σ = 5467001040. Its totient is φ = 898236416.

The previous prime is 2261872607. The next prime is 2261872643. The reversal of 2261872640 is 462781622.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2261872594 and 2261872603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261872643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3665612 + ... + 3666228.

Almost surely, 2^2261872640 is an apocalyptic number.

2261872640 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 2261872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733500520).

2261872640 is an abundant number, since it is smaller than the sum of its proper divisors (3205128400).

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

2261872640 is an equidigital number, since it uses as much as digits as its factorization.

2261872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 2261872640 is about 47559.1488569760. The cubic root of 2261872640 is about 1312.6714786081.

The spelling of 2261872640 in words is "two billion, two hundred sixty-one million, eight hundred seventy-two thousand, six hundred forty".