2775730261920 has 576 divisors, whose sum is σ = 11010401756928. Its totient is φ = 575369625600.

The previous prime is 2775730261873. The next prime is 2775730261921. The reversal of 2775730261920 is 291620375772.

It is not an unprimeable number, because it can be changed into a prime (2775730261921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171153652 + ... + 171169868.

It is an arithmetic number, because the mean of its divisors is an integer number (19115280828).

Almost surely, 2^{2775730261920} is an apocalyptic number.

2775730261920 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 2775730261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505200878464).

2775730261920 is an abundant number, since it is smaller than the sum of its proper divisors (8234671495008).

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

2775730261920 is a wasteful number, since it uses less digits than its factorization.

2775730261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16685 (or 16666 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The spelling of 2775730261920 in words is "two trillion, seven hundred seventy-five billion, seven hundred thirty million, two hundred sixty-one thousand, nine hundred twenty".