2434920349464 has 192 divisors, whose sum is σ = 7006308192000. Its totient is φ = 761295790080.

The previous prime is 2434920349451. The next prime is 2434920349489. The reversal of 2434920349464 is 4649430294342.

2434920349464 is a `hidden beast` number, since 2 + 4 + 3 + 4 + 92 + 0 + 3 + 494 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2434920349464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504017529 + ... + 504022359.

It is an arithmetic number, because the mean of its divisors is an integer number (36491188500).

Almost surely, 2^{2434920349464} is an apocalyptic number.

2434920349464 is a gapful number since it is divisible by the number (24) 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 2434920349464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503154096000).

2434920349464 is an abundant number, since it is smaller than the sum of its proper divisors (4571387842536).

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

2434920349464 is a wasteful number, since it uses less digits than its factorization.

2434920349464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178 (or 6171 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 2434920349464 in words is "two trillion, four hundred thirty-four billion, nine hundred twenty million, three hundred forty-nine thousand, four hundred sixty-four".