2261016640 has 56 divisors (see below), whose sum is σ = 5396176152. Its totient is φ = 902369280.

The previous prime is 2261016631. The next prime is 2261016721. The reversal of 2261016640 is 466101622.

It can be written as a sum of positive squares in 4 ways, for example, as 293916736 + 1967099904 = 17144^2 + 44352^2 .

It is a super-2 number, since 2×2261016640² = 10224392492713779200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261016599 and 2261016608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138510 + ... + 153970.

Almost surely, 2^2261016640 is an apocalyptic number.

2261016640 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 2261016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698088076).

2261016640 is an abundant number, since it is smaller than the sum of its proper divisors (3135159512).

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

2261016640 is a wasteful number, since it uses less digits than its factorization.

2261016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15935 (or 15925 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2261016640 is about 47550.1486853616. The cubic root of 2261016640 is about 1312.5058653101.

The spelling of 2261016640 in words is "two billion, two hundred sixty-one million, sixteen thousand, six hundred forty".