2772293040 has 800 divisors, whose sum is σ = 11667110400. Its totient is φ = 602173440.

The previous prime is 2772293039. The next prime is 2772293053. The reversal of 2772293040 is 403922772.

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

It is a junction number, because it is equal to n+sod(n) for n = 2772292986 and 2772293004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31149316 + ... + 31149404.

It is an arithmetic number, because the mean of its divisors is an integer number (14583888).

Almost surely, 2^2772293040 is an apocalyptic number.

2772293040 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 2772293040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833555200).

2772293040 is an abundant number, since it is smaller than the sum of its proper divisors (8894817360).

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

2772293040 is a wasteful number, since it uses less digits than its factorization.

2772293040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2772293040 is about 52652.5691680852. The cubic root of 2772293040 is about 1404.7952978285.

The spelling of 2772293040 in words is "two billion, seven hundred seventy-two million, two hundred ninety-three thousand, forty".