2705436828000 has 768 divisors, whose sum is σ = 10388746368000. Its totient is φ = 681986304000.

The previous prime is 2705436827993. The next prime is 2705436828049. The reversal of 2705436828000 is 8286345072.

2705436828000 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 4 + 368 + 280 + 0 + 0 = 666.

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

It is a congruent number.

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, 1171690846 + ... + 1171693154.

It is an arithmetic number, because the mean of its divisors is an integer number (13527013500).

Almost surely, 2^{2705436828000} is an apocalyptic number.

2705436828000 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 2705436828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194373184000).

2705436828000 is an abundant number, since it is smaller than the sum of its proper divisors (7683309540000).

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

2705436828000 is a wasteful number, since it uses less digits than its factorization.

2705436828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2705436828000 in words is "two trillion, seven hundred five billion, four hundred thirty-six million, eight hundred twenty-eight thousand".