2742108526080 has 1600 divisors, whose sum is σ = 12310201525248. Its totient is φ = 566753034240.

The previous prime is 2742108525997. The next prime is 2742108526133. The reversal of 2742108526080 is 806258012472.

2742108526080 is a `hidden beast` number, since 2 + 7 + 42 + 1 + 0 + 8 + 526 + 0 + 80 = 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 159 ways as a sum of consecutive naturals, for example, 4199247034 + ... + 4199247686.

Almost surely, 2^{2742108526080} is an apocalyptic number.

2742108526080 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 2742108526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155100762624).

2742108526080 is an abundant number, since it is smaller than the sum of its proper divisors (9568092999168).

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

2742108526080 is a wasteful number, since it uses less digits than its factorization.

2742108526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2742108526080 in words is "two trillion, seven hundred forty-two billion, one hundred eight million, five hundred twenty-six thousand, eighty".