2261544420 has 96 divisors (see below), whose sum is σ = 6519010176. Its totient is φ = 585446400.

The previous prime is 2261544419. The next prime is 2261544421. The reversal of 2261544420 is 244451622.

2261544420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2261544419) and next prime (2261544421).

It is a super-2 number, since 2×2261544420² = 10229166327266272800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2261544421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516882 + ... + 521238.

It is an arithmetic number, because the mean of its divisors is an integer number (67906356).

Almost surely, 2^2261544420 is an apocalyptic number.

2261544420 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 2261544420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259505088).

2261544420 is an abundant number, since it is smaller than the sum of its proper divisors (4257465756).

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

2261544420 is a wasteful number, since it uses less digits than its factorization.

2261544420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2261544420 is about 47555.6980813025. The cubic root of 2261544420 is about 1312.6079816828.

The spelling of 2261544420 in words is "two billion, two hundred sixty-one million, five hundred forty-four thousand, four hundred twenty".