2406703104000 has 1904 divisors, whose sum is σ = 10012197022464. Its totient is φ = 573308928000.

The previous prime is 2406703103971. The next prime is 2406703104011. The reversal of 2406703104000 is 4013076042.

2406703104000 is a `hidden beast` number, since 240 + 6 + 7 + 0 + 3 + 10 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 77635583985 + ... + 77635584015.

Almost surely, 2^{2406703104000} is an apocalyptic number.

2406703104000 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 2406703104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006098511232).

2406703104000 is an abundant number, since it is smaller than the sum of its proper divisors (7605493918464).

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

2406703104000 is an frugal number, since it uses more digits than its factorization.

2406703104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 2406703104000 in words is "two trillion, four hundred six billion, seven hundred three million, one hundred four thousand".