2413901952 has 512 divisors, whose sum is σ = 9118310400. Its totient is φ = 610467840.

The previous prime is 2413901947. The next prime is 2413901953. The reversal of 2413901952 is 2591093142.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413901953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12507168 + ... + 12507360.

It is an arithmetic number, because the mean of its divisors is an integer number (17809200).

Almost surely, 2^2413901952 is an apocalyptic number.

2413901952 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 2413901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559155200).

2413901952 is an abundant number, since it is smaller than the sum of its proper divisors (6704408448).

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

2413901952 is a wasteful number, since it uses less digits than its factorization.

2413901952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2413901952 is about 49131.4761838071. The cubic root of 2413901952 is about 1341.4460427336.

It can be divided in two parts, 241390 and 1952, that added together give a palindrome (243342).

The spelling of 2413901952 in words is "two billion, four hundred thirteen million, nine hundred one thousand, nine hundred fifty-two".