2742050880 has 336 divisors, whose sum is σ = 9885395520. Its totient is φ = 723437568.

The previous prime is 2742050867. The next prime is 2742050903. The reversal of 2742050880 is 880502472.

It is a happy number.

2742050880 is a `hidden beast` number, since 2 + 74 + 2 + 0 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13918942 + ... + 13919138.

It is an arithmetic number, because the mean of its divisors is an integer number (29420820).

Almost surely, 2^2742050880 is an apocalyptic number.

2742050880 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 2742050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942697760).

2742050880 is an abundant number, since it is smaller than the sum of its proper divisors (7143344640).

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

2742050880 is a wasteful number, since it uses less digits than its factorization.

2742050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2742050880 is about 52364.5956730308. The cubic root of 2742050880 is about 1399.6684384894.

The spelling of 2742050880 in words is "two billion, seven hundred forty-two million, fifty thousand, eight hundred eighty".