2367997632 has 672 divisors, whose sum is σ = 9606320640. Its totient is φ = 552407040.

The previous prime is 2367997601. The next prime is 2367997649.

2367997632 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5143824) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63999918 + ... + 63999954.

It is an arithmetic number, because the mean of its divisors is an integer number (14295120).

Almost surely, 2^2367997632 is an apocalyptic number.

2367997632 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 2367997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803160320).

2367997632 is an abundant number, since it is smaller than the sum of its proper divisors (7238323008).

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

2367997632 is a wasteful number, since it uses less digits than its factorization.

2367997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 73 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 2367997632 is about 48662.0759113296. The cubic root of 2367997632 is about 1332.8882963620. Note that the first 3 decimals are identical.

It can be divided in two parts, 2367 and 997632, that added together give a palindrome (999999).

The spelling of 2367997632 in words is "two billion, three hundred sixty-seven million, nine hundred ninety-seven thousand, six hundred thirty-two".