2773638400 has 432 divisors, whose sum is σ = 8191444464. Its totient is φ = 920125440.

The previous prime is 2773638367. The next prime is 2773638407. The reversal of 2773638400 is 48363772.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 970447104 + 1803191296 = 31152^2 + 42464^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2773638407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52332774 + ... + 52332826.

It is an arithmetic number, because the mean of its divisors is an integer number (18961677).

Almost surely, 2^2773638400 is an apocalyptic number.

2773638400 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 2773638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095722232).

2773638400 is an abundant number, since it is smaller than the sum of its proper divisors (5417806064).

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

2773638400 is a wasteful number, since it uses less digits than its factorization.

2773638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 2773638400 is about 52665.3434432930. The cubic root of 2773638400 is about 1405.0225044204.

The spelling of 2773638400 in words is "two billion, seven hundred seventy-three million, six hundred thirty-eight thousand, four hundred".