2400150100 has 72 divisors (see below), whose sum is σ = 5547254328. Its totient is φ = 898252800.

The previous prime is 2400150041. The next prime is 2400150133. The reversal of 2400150100 is 10510042.

It can be written as a sum of positive squares in 12 ways, for example, as 107081104 + 2293068996 = 10348^2 + 47886^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290020 + ... + 298180.

It is an arithmetic number, because the mean of its divisors is an integer number (77045199).

Almost surely, 2^2400150100 is an apocalyptic number.

2400150100 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 2400150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773627164).

2400150100 is an abundant number, since it is smaller than the sum of its proper divisors (3147104228).

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

2400150100 is a wasteful number, since it uses less digits than its factorization.

2400150100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8365 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 2400150100 is about 48991.3267834216. The cubic root of 2400150100 is about 1338.8938112174.

Adding to 2400150100 its reverse (10510042), we get a palindrome (2410660142).

The spelling of 2400150100 in words is "two billion, four hundred million, one hundred fifty thousand, one hundred".