2261210064 has 80 divisors (see below), whose sum is σ = 6156748800. Its totient is φ = 713155968.

The previous prime is 2261210057. The next prime is 2261210087. The reversal of 2261210064 is 4600121622.

It is a super-2 number, since 2×2261210064² = 10226141907069768192, which contains 22 as substring.

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

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, 1311507 + ... + 1313229.

It is an arithmetic number, because the mean of its divisors is an integer number (76959360).

Almost surely, 2^2261210064 is an apocalyptic number.

2261210064 is a gapful number since it is divisible by the number (24) 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 2261210064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078374400).

2261210064 is an abundant number, since it is smaller than the sum of its proper divisors (3895538736).

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

2261210064 is a wasteful number, since it uses less digits than its factorization.

2261210064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2261210064 is about 47552.1825366618. The cubic root of 2261210064 is about 1312.5432913793.

Adding to 2261210064 its reverse (4600121622), we get a palindrome (6861331686).

The spelling of 2261210064 in words is "two billion, two hundred sixty-one million, two hundred ten thousand, sixty-four".