2261716320 has 96 divisors (see below), whose sum is σ = 7230843648. Its totient is φ = 594114048.

The previous prime is 2261716313. The next prime is 2261716343. The reversal of 2261716320 is 236171622.

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

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

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, 3004 + ... + 67323.

It is an arithmetic number, because the mean of its divisors is an integer number (75321288).

Almost surely, 2^2261716320 is an apocalyptic number.

2261716320 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 2261716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615421824).

2261716320 is an abundant number, since it is smaller than the sum of its proper divisors (4969127328).

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

2261716320 is a wasteful number, since it uses less digits than its factorization.

2261716320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70412 (or 70404 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2261716320 is about 47557.5054013559. The cubic root of 2261716320 is about 1312.6412379528.

Adding to 2261716320 its reverse (236171622), we get a palindrome (2497887942).

The spelling of 2261716320 in words is "two billion, two hundred sixty-one million, seven hundred sixteen thousand, three hundred twenty".