2435679642240 has 2560 divisors, whose sum is σ = 10438275133440. Its totient is φ = 536043847680.

The previous prime is 2435679642229. The next prime is 2435679642293. The reversal of 2435679642240 is 422469765342.

2435679642240 is a `hidden beast` number, since 2 + 4 + 35 + 67 + 96 + 422 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 17778683452 + ... + 17778683588.

It is an arithmetic number, because the mean of its divisors is an integer number (4077451224).

Almost surely, 2^{2435679642240} is an apocalyptic number.

2435679642240 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 2435679642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219137566720).

2435679642240 is an abundant number, since it is smaller than the sum of its proper divisors (8002595491200).

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

2435679642240 is a wasteful number, since it uses less digits than its factorization.

2435679642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 2435679642240 in words is "two trillion, four hundred thirty-five billion, six hundred seventy-nine million, six hundred forty-two thousand, two hundred forty".