2406146688000 has 1408 divisors, whose sum is σ = 9785354342400. Its totient is φ = 578285568000.

The previous prime is 2406146687957. The next prime is 2406146688037. The reversal of 2406146688000 is 8866416042.

2406146688000 is a `hidden beast` number, since 24 + 0 + 614 + 6 + 6 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6348671811 + ... + 6348672189.

Almost surely, 2^{2406146688000} is an apocalyptic number.

2406146688000 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 2406146688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892677171200).

2406146688000 is an abundant number, since it is smaller than the sum of its proper divisors (7379207654400).

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

2406146688000 is a wasteful number, since it uses less digits than its factorization.

2406146688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2406146688000 in words is "two trillion, four hundred six billion, one hundred forty-six million, six hundred eighty-eight thousand".