2452100442 has 96 divisors (see below), whose sum is σ = 5710025664. Its totient is φ = 696038400.

The previous prime is 2452100437. The next prime is 2452100447. The reversal of 2452100442 is 2440012542.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2452100437) and next prime (2452100447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452100447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2310592 + ... + 2311652.

It is an arithmetic number, because the mean of its divisors is an integer number (59479434).

Almost surely, 2^2452100442 is an apocalyptic number.

2452100442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2452100442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855012832).

2452100442 is an abundant number, since it is smaller than the sum of its proper divisors (3257925222).

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

2452100442 is a wasteful number, since it uses less digits than its factorization.

2452100442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2452100442 is about 49518.6878057163. The cubic root of 2452100442 is about 1348.4848922716.

Adding to 2452100442 its reverse (2440012542), we get a palindrome (4892112984).

It can be divided in two parts, 2452100 and 442, that added together give a palindrome (2452542).

The spelling of 2452100442 in words is "two billion, four hundred fifty-two million, one hundred thousand, four hundred forty-two".