2738856780 has 288 divisors, whose sum is σ = 9459555840. Its totient is φ = 657360000.

The previous prime is 2738856697. The next prime is 2738856833. The reversal of 2738856780 is 876588372.

2738856780 is a `hidden beast` number, since 2 + 73 + 8 + 8 + 567 + 8 + 0 = 666.

It is a super-2 number, since 2×2738856780² = 15002672922703936800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10911655 + ... + 10911905.

It is an arithmetic number, because the mean of its divisors is an integer number (32845680).

Almost surely, 2^2738856780 is an apocalyptic number.

2738856780 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 2738856780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729777920).

2738856780 is an abundant number, since it is smaller than the sum of its proper divisors (6720699060).

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

2738856780 is a wasteful number, since it uses less digits than its factorization.

2738856780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 2738856780 is about 52334.0881261917. The cubic root of 2738856780 is about 1399.1247556546.

The spelling of 2738856780 in words is "two billion, seven hundred thirty-eight million, eight hundred fifty-six thousand, seven hundred eighty".