2773742400 has 672 divisors, whose sum is σ = 11905488000. Its totient is φ = 619315200.

The previous prime is 2773742399. The next prime is 2773742437. The reversal of 2773742400 is 42473772.

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 95 ways as a sum of consecutive naturals, for example, 6177376 + ... + 6177824.

It is an arithmetic number, because the mean of its divisors is an integer number (17716500).

Almost surely, 2^2773742400 is an apocalyptic number.

2773742400 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 2773742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952744000).

2773742400 is an abundant number, since it is smaller than the sum of its proper divisors (9131745600).

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

2773742400 is a wasteful number, since it uses less digits than its factorization.

2773742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 2773742400 is about 52666.3308006168. The cubic root of 2773742400 is about 1405.0400650505.

The spelling of 2773742400 in words is "two billion, seven hundred seventy-three million, seven hundred forty-two thousand, four hundred".