2134449380736 has 256 divisors, whose sum is σ = 6519948120000. Its totient is φ = 686619279360.

The previous prime is 2134449380677. The next prime is 2134449380743. The reversal of 2134449380736 is 6370839444312.

It is a happy number.

2134449380736 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 4 + 493 + 80 + 73 + 6 = 666.

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, 291547956 + ... + 291555276.

Almost surely, 2^{2134449380736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134449380736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259974060000).

2134449380736 is an abundant number, since it is smaller than the sum of its proper divisors (4385498739264).

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

2134449380736 is a wasteful number, since it uses less digits than its factorization.

2134449380736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10282 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 2134449380736 in words is "two trillion, one hundred thirty-four billion, four hundred forty-nine million, three hundred eighty thousand, seven hundred thirty-six".