2778253340 has 48 divisors (see below), whose sum is σ = 6153628320. Its totient is φ = 1050716160.

The previous prime is 2778253333. The next prime is 2778253343. The reversal of 2778253340 is 433528772.

It is a super-3 number, since 3×2778253340³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778253343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190964 + ... + 204996.

It is an arithmetic number, because the mean of its divisors is an integer number (128200590).

Almost surely, 2^2778253340 is an apocalyptic number.

2778253340 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 2778253340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076814160).

2778253340 is an abundant number, since it is smaller than the sum of its proper divisors (3375374980).

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

2778253340 is a wasteful number, since it uses less digits than its factorization.

2778253340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14582 (or 14580 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The square root of 2778253340 is about 52709.1390557653. The cubic root of 2778253340 is about 1405.8013252012.

The spelling of 2778253340 in words is "two billion, seven hundred seventy-eight million, two hundred fifty-three thousand, three hundred forty".