2434199040 has 960 divisors, whose sum is σ = 11010295296. Its totient is φ = 501645312.

The previous prime is 2434199021. The next prime is 2434199057. The reversal of 2434199040 is 409914342.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2434198986 and 2434199004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56609259 + ... + 56609301.

Almost surely, 2^2434199040 is an apocalyptic number.

2434199040 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 2434199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505147648).

2434199040 is an abundant number, since it is smaller than the sum of its proper divisors (8576096256).

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

2434199040 is an equidigital number, since it uses as much as digits as its factorization.

2434199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2434199040 is about 49337.6026981450. The cubic root of 2434199040 is about 1345.1953650883.

The spelling of 2434199040 in words is "two billion, four hundred thirty-four million, one hundred ninety-nine thousand, forty".