2646406080000 has 600 divisors, whose sum is σ = 9897854054088. Its totient is φ = 705687552000.

The previous prime is 2646406079987. The next prime is 2646406080007. The reversal of 2646406080000 is 806046462.

It is a happy number.

2646406080000 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 40 + 608 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646406080007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77742984 + ... + 77777016.

Almost surely, 2^{2646406080000} is an apocalyptic number.

2646406080000 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 2646406080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948927027044).

2646406080000 is an abundant number, since it is smaller than the sum of its proper divisors (7251447974088).

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

2646406080000 is an frugal number, since it uses more digits than its factorization.

2646406080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34086 (or 34043 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2646406080000 in words is "two trillion, six hundred forty-six billion, four hundred six million, eighty thousand".