2402431440 has 160 divisors (see below), whose sum is σ = 7874496000. Its totient is φ = 604224000.

The previous prime is 2402431433. The next prime is 2402431469. The reversal of 2402431440 is 441342042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2402431440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1143511 + ... + 1145609.

It is an arithmetic number, because the mean of its divisors is an integer number (49215600).

Almost surely, 2^2402431440 is an apocalyptic number.

2402431440 is a gapful number since it is divisible by the number (20) 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 2402431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248000).

2402431440 is an abundant number, since it is smaller than the sum of its proper divisors (5472064560).

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

2402431440 is a wasteful number, since it uses less digits than its factorization.

2402431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2402431440 is about 49014.6043542126. The cubic root of 2402431440 is about 1339.3178825787.

Adding to 2402431440 its reverse (441342042), we get a palindrome (2843773482).

The spelling of 2402431440 in words is "two billion, four hundred two million, four hundred thirty-one thousand, four hundred forty".