2400205152 has 24 divisors (see below), whose sum is σ = 6300538776. Its totient is φ = 800068352.

The previous prime is 2400205109. The next prime is 2400205169. The reversal of 2400205152 is 2515020042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12500973 + ... + 12501164.

It is an arithmetic number, because the mean of its divisors is an integer number (262522449).

Almost surely, 2^2400205152 is an apocalyptic number.

It is an amenable number.

2400205152 is an abundant number, since it is smaller than the sum of its proper divisors (3900333624).

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

2400205152 is a wasteful number, since it uses less digits than its factorization.

2400205152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25002150 (or 25002142 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2400205152 is about 48991.8886347526. Note that the first 3 decimals coincide. The cubic root of 2400205152 is about 1338.9040478298.

Adding to 2400205152 its reverse (2515020042), we get a palindrome (4915225194).

The spelling of 2400205152 in words is "two billion, four hundred million, two hundred five thousand, one hundred fifty-two".