2772653040 has 120 divisors (see below), whose sum is σ = 9324233568. Its totient is φ = 738362880.

The previous prime is 2772652969. The next prime is 2772653099. The reversal of 2772653040 is 403562772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 2772652986 and 2772653004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629245 + ... + 633635.

Almost surely, 2^2772653040 is an apocalyptic number.

2772653040 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 2772653040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662116784).

2772653040 is an abundant number, since it is smaller than the sum of its proper divisors (6551580528).

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

2772653040 is a wasteful number, since it uses less digits than its factorization.

2772653040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2772653040 is about 52655.9876937087. The cubic root of 2772653040 is about 1404.8561024177.

The spelling of 2772653040 in words is "two billion, seven hundred seventy-two million, six hundred fifty-three thousand, forty".