2673362560 has 128 divisors (see below), whose sum is σ = 6995160000. Its totient is φ = 968908800.

The previous prime is 2673362539. The next prime is 2673362569. The reversal of 2673362560 is 652633762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2673362569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3512580 + ... + 3513340.

Almost surely, 2^2673362560 is an apocalyptic number.

2673362560 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 2673362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497580000).

2673362560 is an abundant number, since it is smaller than the sum of its proper divisors (4321797440).

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

2673362560 is a wasteful number, since it uses less digits than its factorization.

2673362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 40.

The square root of 2673362560 is about 51704.5700107834. The cubic root of 2673362560 is about 1387.8822468739.

The spelling of 2673362560 in words is "two billion, six hundred seventy-three million, three hundred sixty-two thousand, five hundred sixty".