2683129891104 has 240 divisors, whose sum is σ = 8580527347392. Its totient is φ = 817562045952.

The previous prime is 2683129891097. The next prime is 2683129891109. The reversal of 2683129891104 is 4011989213862.

It is a happy number.

2683129891104 is a `hidden beast` number, since 268 + 3 + 1 + 298 + 91 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2683129891109) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3084147 + ... + 3857229.

Almost surely, 2^{2683129891104} is an apocalyptic number.

2683129891104 is a gapful number since it is divisible by the number (24) 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 2683129891104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290263673696).

2683129891104 is an abundant number, since it is smaller than the sum of its proper divisors (5897397456288).

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

2683129891104 is a wasteful number, since it uses less digits than its factorization.

2683129891104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773221 (or 773204 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 2683129891104 in words is "two trillion, six hundred eighty-three billion, one hundred twenty-nine million, eight hundred ninety-one thousand, one hundred four".