2673010560 has 256 divisors, whose sum is σ = 9438508800. Its totient is φ = 637992960.

The previous prime is 2673010541. The next prime is 2673010567. The reversal of 2673010560 is 650103762.

2673010560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2673010567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1414096 + ... + 1415984.

It is an arithmetic number, because the mean of its divisors is an integer number (36869175).

Almost surely, 2^2673010560 is an apocalyptic number.

2673010560 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 2673010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719254400).

2673010560 is an abundant number, since it is smaller than the sum of its proper divisors (6765498240).

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

2673010560 is a wasteful number, since it uses less digits than its factorization.

2673010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 2673010560 is about 51701.1659442996. The cubic root of 2673010560 is about 1387.8213303337.

The spelling of 2673010560 in words is "two billion, six hundred seventy-three million, ten thousand, five hundred sixty".