2402417472 has 252 divisors, whose sum is σ = 8012009376. Its totient is φ = 633185280.

The previous prime is 2402417453. The next prime is 2402417477. The reversal of 2402417472 is 2747142042.

2402417472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402417477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1589197 + ... + 1590707.

It is an arithmetic number, because the mean of its divisors is an integer number (31793688).

Almost surely, 2^2402417472 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 2402417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006004688).

2402417472 is an abundant number, since it is smaller than the sum of its proper divisors (5609591904).

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

2402417472 is a wasteful number, since it uses less digits than its factorization.

2402417472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 33.

The square root of 2402417472 is about 49014.4618658616. The cubic root of 2402417472 is about 1339.3152869266.

The spelling of 2402417472 in words is "two billion, four hundred two million, four hundred seventeen thousand, four hundred seventy-two".