2459261952 has 352 divisors, whose sum is σ = 8473597440. Its totient is φ = 690094080.

The previous prime is 2459261927. The next prime is 2459261969. The reversal of 2459261952 is 2591629542.

2459261952 is a `hidden beast` number, since 2 + 4 + 592 + 6 + 1 + 9 + 52 = 666.

Its product of digits (388800) is a multiple of the sum of its prime divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2459261898 and 2459261907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18772927 + ... + 18773057.

It is an arithmetic number, because the mean of its divisors is an integer number (24072720).

Almost surely, 2^2459261952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2459261952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236798720).

2459261952 is an abundant number, since it is smaller than the sum of its proper divisors (6014335488).

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

2459261952 is a wasteful number, since it uses less digits than its factorization.

2459261952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 2459261952 is about 49590.9462704635. The cubic root of 2459261952 is about 1349.7963939852.

The spelling of 2459261952 in words is "two billion, four hundred fifty-nine million, two hundred sixty-one thousand, nine hundred fifty-two".