2772133643400 has 144 divisors (see below), whose sum is σ = 9445873810800. Its totient is φ = 672032380800.

The previous prime is 2772133643393. The next prime is 2772133643429. The reversal of 2772133643400 is 43463312772.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19019230 + ... + 19164429.

Almost surely, 2^{2772133643400} is an apocalyptic number.

2772133643400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2772133643400 is an abundant number, since it is smaller than the sum of its proper divisors (6673740167400).

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

2772133643400 is a wasteful number, since it uses less digits than its factorization.

2772133643400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38183700 (or 38183680 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 2772133643400 in words is "two trillion, seven hundred seventy-two billion, one hundred thirty-three million, six hundred forty-three thousand, four hundred".