2361221632 has 160 divisors (see below), whose sum is σ = 5950226304. Its totient is φ = 909312000.

The previous prime is 2361221623. The next prime is 2361221641.

2361221632 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2361221623) and next prime (2361221641).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2361221632.

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, 3981528 + ... + 3982120.

Almost surely, 2^2361221632 is an apocalyptic number.

2361221632 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 2361221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975113152).

2361221632 is an abundant number, since it is smaller than the sum of its proper divisors (3589004672).

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

2361221632 is a wasteful number, since it uses less digits than its factorization.

2361221632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 714 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 2361221632 is about 48592.4030276339. The cubic root of 2361221632 is about 1331.6157332264.

The spelling of 2361221632 in words is "two billion, three hundred sixty-one million, two hundred twenty-one thousand, six hundred thirty-two".