2742878736000 has 1536 divisors, whose sum is σ = 11384692300800. Its totient is φ = 626835456000.

The previous prime is 2742878735939. The next prime is 2742878736001. The reversal of 2742878736000 is 6378782472.

2742878736000 is a `hidden beast` number, since 2 + 7 + 4 + 28 + 7 + 8 + 7 + 3 + 600 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2742878736001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2514095455 + ... + 2514096545.

It is an arithmetic number, because the mean of its divisors is an integer number (7411909050).

Almost surely, 2^{2742878736000} is an apocalyptic number.

2742878736000 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 2742878736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692346150400).

2742878736000 is an abundant number, since it is smaller than the sum of its proper divisors (8641813564800).

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

2742878736000 is a wasteful number, since it uses less digits than its factorization.

2742878736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 2742878736000 in words is "two trillion, seven hundred forty-two billion, eight hundred seventy-eight million, seven hundred thirty-six thousand".