2765002240 has 480 divisors, whose sum is σ = 9057920256. Its totient is φ = 785940480.

The previous prime is 2765002171. The next prime is 2765002243. The reversal of 2765002240 is 422005672.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2765002199 and 2765002208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2765002243) 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, 33313239 + ... + 33313321.

Almost surely, 2^2765002240 is an apocalyptic number.

2765002240 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 2765002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528960128).

2765002240 is an abundant number, since it is smaller than the sum of its proper divisors (6292918016).

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

2765002240 is a wasteful number, since it uses less digits than its factorization.

2765002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2765002240 is about 52583.2886000866. The cubic root of 2765002240 is about 1403.5627353450.

The spelling of 2765002240 in words is "two billion, seven hundred sixty-five million, two thousand, two hundred forty".