2674788480 has 864 divisors, whose sum is σ = 12015270540. Its totient is φ = 564350976.

The previous prime is 2674788439. The next prime is 2674788491. The reversal of 2674788480 is 848874762.

It is a happy number.

2674788480 is a `hidden beast` number, since 26 + 74 + 78 + 8 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2489610816 + 185177664 = 49896^2 + 13608^2 .

It is a tau number, because it is divible by the number of its divisors (864).

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 (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 205752954 + ... + 205752966.

Almost surely, 2^2674788480 is an apocalyptic number.

2674788480 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 2674788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007635270).

2674788480 is an abundant number, since it is smaller than the sum of its proper divisors (9340482060).

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

2674788480 is an frugal number, since it uses more digits than its factorization.

2674788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 2674788480 is about 51718.3572824969. The cubic root of 2674788480 is about 1388.1289595511.

The spelling of 2674788480 in words is "two billion, six hundred seventy-four million, seven hundred eighty-eight thousand, four hundred eighty".