2775954240 has 336 divisors, whose sum is σ = 10251521280. Its totient is φ = 714147840.

The previous prime is 2775954239. The next prime is 2775954277. The reversal of 2775954240 is 424595772.

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 47 ways as a sum of consecutive naturals, for example, 2254425 + ... + 2255655.

It is an arithmetic number, because the mean of its divisors is an integer number (30510480).

Almost surely, 2^2775954240 is an apocalyptic number.

2775954240 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 2775954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125760640).

2775954240 is an abundant number, since it is smaller than the sum of its proper divisors (7475567040).

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

2775954240 is a wasteful number, since it uses less digits than its factorization.

2775954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2775954240 is about 52687.3252310269. The cubic root of 2775954240 is about 1405.4134352343.

The spelling of 2775954240 in words is "two billion, seven hundred seventy-five million, nine hundred fifty-four thousand, two hundred forty".