2434285880640 has 224 divisors, whose sum is σ = 8631217647360. Its totient is φ = 645847308288.

The previous prime is 2434285880639. The next prime is 2434285880647. The reversal of 2434285880640 is 460885824342.

2434285880640 is a `hidden beast` number, since 2 + 4 + 34 + 28 + 588 + 0 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434285880647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986989 + ... + 2417171.

It is an arithmetic number, because the mean of its divisors is an integer number (38532221640).

Almost surely, 2^{2434285880640} is an apocalyptic number.

2434285880640 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 2434285880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315608823680).

2434285880640 is an abundant number, since it is smaller than the sum of its proper divisors (6196931766720).

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

2434285880640 is a wasteful number, since it uses less digits than its factorization.

2434285880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430406 (or 1430390 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 2434285880640 in words is "two trillion, four hundred thirty-four billion, two hundred eighty-five million, eight hundred eighty thousand, six hundred forty".