2706495001600 has 528 divisors, whose sum is σ = 7389197061120. Its totient is φ = 976866508800.

The previous prime is 2706495001577. The next prime is 2706495001601. The reversal of 2706495001600 is 61005946072.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2706495001601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2970905145 + ... + 2970906055.

Almost surely, 2^{2706495001600} is an apocalyptic number.

2706495001600 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 2706495001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694598530560).

2706495001600 is an abundant number, since it is smaller than the sum of its proper divisors (4682702059520).

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

2706495001600 is a wasteful number, since it uses less digits than its factorization.

2706495001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 2706495001600 in words is "two trillion, seven hundred six billion, four hundred ninety-five million, one thousand, six hundred".