2435997408 has 96 divisors (see below), whose sum is σ = 6900598656. Its totient is φ = 747990528.

The previous prime is 2435997349. The next prime is 2435997409. The reversal of 2435997408 is 8047995342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2435997409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700891 + ... + 704357.

It is an arithmetic number, because the mean of its divisors is an integer number (71881236).

Almost surely, 2^2435997408 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 2435997408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450299328).

2435997408 is an abundant number, since it is smaller than the sum of its proper divisors (4464601248).

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

2435997408 is a wasteful number, since it uses less digits than its factorization.

2435997408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 2435997408 is about 49355.8244587202. The cubic root of 2435997408 is about 1345.5265569576.

The spelling of 2435997408 in words is "two billion, four hundred thirty-five million, nine hundred ninety-seven thousand, four hundred eight".