2434790400 has 396 divisors, whose sum is σ = 9375391008. Its totient is φ = 555663360.

The previous prime is 2434790387. The next prime is 2434790411. The reversal of 2434790400 is 40974342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3762877 + ... + 3763523.

Almost surely, 2^2434790400 is an apocalyptic number.

2434790400 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 2434790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687695504).

2434790400 is an abundant number, since it is smaller than the sum of its proper divisors (6940600608).

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

2434790400 is a wasteful number, since it uses less digits than its factorization.

2434790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2434790400 is about 49343.5953290799. The cubic root of 2434790400 is about 1345.3042893940.

The spelling of 2434790400 in words is "two billion, four hundred thirty-four million, seven hundred ninety thousand, four hundred".