2760426000 has 640 divisors, whose sum is σ = 10919301120. Its totient is φ = 663552000.

The previous prime is 2760425971. The next prime is 2760426007. The reversal of 2760426000 is 6240672.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2760426007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28457952 + ... + 28458048.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2^2760426000 is an apocalyptic number.

2760426000 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 2760426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459650560).

2760426000 is an abundant number, since it is smaller than the sum of its proper divisors (8158875120).

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

2760426000 is a wasteful number, since it uses less digits than its factorization.

2760426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2760426000 is about 52539.7563755296. The cubic root of 2760426000 is about 1402.7879816995.

Adding to 2760426000 its reverse (6240672), we get a palindrome (2766666672).

The spelling of 2760426000 in words is "two billion, seven hundred sixty million, four hundred twenty-six thousand".