2261405432 has 64 divisors (see below), whose sum is σ = 5097375360. Its totient is φ = 926755200.

The previous prime is 2261405401. The next prime is 2261405437. The reversal of 2261405432 is 2345041622.

2261405432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261405432² = 10227909055758213248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261405395 and 2261405404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261405437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26207 + ... + 72177.

It is an arithmetic number, because the mean of its divisors is an integer number (79646490).

Almost surely, 2^2261405432 is an apocalyptic number.

2261405432 is a gapful number since it is divisible by the number (22) 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 2261405432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548687680).

2261405432 is an abundant number, since it is smaller than the sum of its proper divisors (2835969928).

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

2261405432 is a wasteful number, since it uses less digits than its factorization.

2261405432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46044 (or 46040 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2261405432 is about 47554.2367407994. The cubic root of 2261405432 is about 1312.5810914312.

The spelling of 2261405432 in words is "two billion, two hundred sixty-one million, four hundred five thousand, four hundred thirty-two".