2435616640 has 64 divisors (see below), whose sum is σ = 5828736960. Its totient is φ = 973228032.

The previous prime is 2435616637. The next prime is 2435616641. The reversal of 2435616640 is 466165342.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2435616640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2435616641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1020889 + ... + 1023271.

It is an arithmetic number, because the mean of its divisors is an integer number (91074015).

Almost surely, 2^2435616640 is an apocalyptic number.

2435616640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2435616640 is an abundant number, since it is smaller than the sum of its proper divisors (3393120320).

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

2435616640 is a wasteful number, since it uses less digits than its factorization.

2435616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 2435616640 is about 49351.9669314203. The cubic root of 2435616640 is about 1345.4564473931.

The spelling of 2435616640 in words is "two billion, four hundred thirty-five million, six hundred sixteen thousand, six hundred forty".