2766770460 has 240 divisors, whose sum is σ = 9207770880. Its totient is φ = 694241280.

The previous prime is 2766770437. The next prime is 2766770471. The reversal of 2766770460 is 640776672.

It is a super-2 number, since 2×2766770460² = 15310037556657223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1857396 + ... + 1858884.

It is an arithmetic number, because the mean of its divisors is an integer number (38365712).

Almost surely, 2^2766770460 is an apocalyptic number.

2766770460 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 2766770460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603885440).

2766770460 is an abundant number, since it is smaller than the sum of its proper divisors (6441000420).

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

2766770460 is a wasteful number, since it uses less digits than its factorization.

2766770460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 2766770460 is about 52600.0994295638. The cubic root of 2766770460 is about 1403.8618645600.

The spelling of 2766770460 in words is "two billion, seven hundred sixty-six million, seven hundred seventy thousand, four hundred sixty".