2261430240 has 96 divisors (see below), whose sum is σ = 7131390336. Its totient is φ = 602380800.

The previous prime is 2261430233. The next prime is 2261430263. The reversal of 2261430240 is 420341622.

2261430240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2261430240² = 10228133460772915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2261430240.

It is a congruent number.

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, 556215 + ... + 560265.

It is an arithmetic number, because the mean of its divisors is an integer number (74285316).

Almost surely, 2^2261430240 is an apocalyptic number.

2261430240 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 2261430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565695168).

2261430240 is an abundant number, since it is smaller than the sum of its proper divisors (4869960096).

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

2261430240 is a wasteful number, since it uses less digits than its factorization.

2261430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2261430240 is about 47554.4975790934. The cubic root of 2261430240 is about 1312.5858911591.

Adding to 2261430240 its reverse (420341622), we get a palindrome (2681771862).

The spelling of 2261430240 in words is "two billion, two hundred sixty-one million, four hundred thirty thousand, two hundred forty".