2674434098160 has 480 divisors, whose sum is σ = 9992180030976. Its totient is φ = 635531520000.

The previous prime is 2674434098153. The next prime is 2674434098207. The reversal of 2674434098160 is 618904344762.

2674434098160 is a `hidden beast` number, since 2 + 6 + 74 + 4 + 3 + 409 + 8 + 160 = 666.

2674434098160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2674434098097 and 2674434098106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 609069565 + ... + 609073955.

Almost surely, 2^{2674434098160} is an apocalyptic number.

2674434098160 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 2674434098160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996090015488).

2674434098160 is an abundant number, since it is smaller than the sum of its proper divisors (7317745932816).

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

2674434098160 is a wasteful number, since it uses less digits than its factorization.

2674434098160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2674434098160 in words is "two trillion, six hundred seventy-four billion, four hundred thirty-four million, ninety-eight thousand, one hundred sixty".