2758197960 has 256 divisors, whose sum is σ = 10681459200. Its totient is φ = 620006400.

The previous prime is 2758197941. The next prime is 2758197971. The reversal of 2758197960 is 697918572.

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

It is a junction number, because it is equal to n+sod(n) for n = 2758197897 and 2758197906.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 458170 + ... + 464150.

It is an arithmetic number, because the mean of its divisors is an integer number (41724450).

Almost surely, 2^2758197960 is an apocalyptic number.

2758197960 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 2758197960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340729600).

2758197960 is an abundant number, since it is smaller than the sum of its proper divisors (7923261240).

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

2758197960 is a wasteful number, since it uses less digits than its factorization.

2758197960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 2758197960 is about 52518.5487232844. The cubic root of 2758197960 is about 1402.4104664169.

The spelling of 2758197960 in words is "two billion, seven hundred fifty-eight million, one hundred ninety-seven thousand, nine hundred sixty".