2273679240 has 128 divisors (see below), whose sum is σ = 7829602560. Its totient is φ = 517423104.

The previous prime is 2273679203. The next prime is 2273679293. The reversal of 2273679240 is 429763722.

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

It is a junction number, because it is equal to n+sod(n) for n = 2273679192 and 2273679201.

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, 189912 + ... + 201528.

It is an arithmetic number, because the mean of its divisors is an integer number (61168770).

Almost surely, 2^2273679240 is an apocalyptic number.

2273679240 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 2273679240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914801280).

2273679240 is an abundant number, since it is smaller than the sum of its proper divisors (5555923320).

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

2273679240 is a wasteful number, since it uses less digits than its factorization.

2273679240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11871 (or 11867 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 2273679240 is about 47683.1127339648. The cubic root of 2273679240 is about 1314.9514918952.

The spelling of 2273679240 in words is "two billion, two hundred seventy-three million, six hundred seventy-nine thousand, two hundred forty".