2758471680 has 416 divisors, whose sum is σ = 9907833600. Its totient is φ = 651165696.

The previous prime is 2758471649. The next prime is 2758471687. The reversal of 2758471680 is 861748572.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2758471687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19845051 + ... + 19845189.

Almost surely, 2^2758471680 is an apocalyptic number.

2758471680 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 2758471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953916800).

2758471680 is an abundant number, since it is smaller than the sum of its proper divisors (7149361920).

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

2758471680 is a wasteful number, since it uses less digits than its factorization.

2758471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 2758471680 is about 52521.1545950772. The cubic root of 2758471680 is about 1402.4568560163.

The spelling of 2758471680 in words is "two billion, seven hundred fifty-eight million, four hundred seventy-one thousand, six hundred eighty".