2435442495840 has 192 divisors, whose sum is σ = 8544302262720. Its totient is φ = 647908208640.

The previous prime is 2435442495823. The next prime is 2435442495877. The reversal of 2435442495840 is 485942445342.

2435442495840 is a `hidden beast` number, since 2 + 4 + 3 + 54 + 4 + 2 + 4 + 9 + 584 + 0 = 666.

It is a super-3 number, since 3×2435442495840³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149172 + ... + 2488268.

It is an arithmetic number, because the mean of its divisors is an integer number (44501574285).

Almost surely, 2^{2435442495840} is an apocalyptic number.

2435442495840 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 2435442495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272151131360).

2435442495840 is an abundant number, since it is smaller than the sum of its proper divisors (6108859766880).

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

2435442495840 is a wasteful number, since it uses less digits than its factorization.

2435442495840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339542 (or 1339528 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 2435442495840 in words is "two trillion, four hundred thirty-five billion, four hundred forty-two million, four hundred ninety-five thousand, eight hundred forty".