2406672394560 has 336 divisors, whose sum is σ = 9487649808000. Its totient is φ = 548518735872.

The previous prime is 2406672394559. The next prime is 2406672394597. The reversal of 2406672394560 is 654932766042.

2406672394560 is a `hidden beast` number, since 2 + 4 + 0 + 6 + 6 + 72 + 3 + 9 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 2406672394497 and 2406672394506.

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, 6864811 + ... + 7206869.

It is an arithmetic number, because the mean of its divisors is an integer number (28237053000).

Almost surely, 2^{2406672394560} is an apocalyptic number.

2406672394560 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 2406672394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743824904000).

2406672394560 is an abundant number, since it is smaller than the sum of its proper divisors (7080977413440).

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

2406672394560 is a wasteful number, since it uses less digits than its factorization.

2406672394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342438 (or 342425 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 2406672394560 in words is "two trillion, four hundred six billion, six hundred seventy-two million, three hundred ninety-four thousand, five hundred sixty".