2272375440 has 120 divisors (see below), whose sum is σ = 7691793408. Its totient is φ = 601171200.

The previous prime is 2272375439. The next prime is 2272375481. The reversal of 2272375440 is 445732722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2272375395 and 2272375404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79015 + ... + 103865.

Almost surely, 2^2272375440 is an apocalyptic number.

2272375440 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 2272375440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845896704).

2272375440 is an abundant number, since it is smaller than the sum of its proper divisors (5419417968).

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

2272375440 is a wasteful number, since it uses less digits than its factorization.

2272375440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24997 (or 24988 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2272375440 is about 47669.4392666832. The cubic root of 2272375440 is about 1314.7000988325.

The spelling of 2272375440 in words is "two billion, two hundred seventy-two million, three hundred seventy-five thousand, four hundred forty".