2400167420 has 96 divisors (see below), whose sum is σ = 5832207360. Its totient is φ = 812736000.

The previous prime is 2400167417. The next prime is 2400167437. The reversal of 2400167420 is 247610042.

It is a self number, because there is not a number n which added to its sum of digits gives 2400167420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5868176 + ... + 5868584.

It is an arithmetic number, because the mean of its divisors is an integer number (60752160).

Almost surely, 2^2400167420 is an apocalyptic number.

2400167420 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 2400167420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916103680).

2400167420 is an abundant number, since it is smaller than the sum of its proper divisors (3432039940).

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

2400167420 is a wasteful number, since it uses less digits than its factorization.

2400167420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 2400167420 is about 48991.5035490849. The cubic root of 2400167420 is about 1338.8970317917.

Adding to 2400167420 its reverse (247610042), we get a palindrome (2647777462).

The spelling of 2400167420 in words is "two billion, four hundred million, one hundred sixty-seven thousand, four hundred twenty".