2646381652992 has 1320 divisors, whose sum is σ = 10035563901440. Its totient is φ = 679908556800.

The previous prime is 2646381652963. The next prime is 2646381653087. The reversal of 2646381652992 is 2992561836462.

It is a happy number.

2646381652992 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 3 + 8 + 16 + 529 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9765245817 + ... + 9765246087.

Almost surely, 2^{2646381652992} is an apocalyptic number.

2646381652992 is a gapful number since it is divisible by the number (22) 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 2646381652992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017781950720).

2646381652992 is an abundant number, since it is smaller than the sum of its proper divisors (7389182248448).

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

2646381652992 is a wasteful number, since it uses less digits than its factorization.

2646381652992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 433 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 2646381652992 in words is "two trillion, six hundred forty-six billion, three hundred eighty-one million, six hundred fifty-two thousand, nine hundred ninety-two".