2672460000 has 720 divisors, whose sum is σ = 11442649680. Its totient is φ = 604800000.

The previous prime is 2672459987. The next prime is 2672460023. The reversal of 2672460000 is 642762.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 26459950 + ... + 26460050.

It is an arithmetic number, because the mean of its divisors is an integer number (15892569).

Almost surely, 2^2672460000 is an apocalyptic number.

2672460000 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 2672460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721324840).

2672460000 is an abundant number, since it is smaller than the sum of its proper divisors (8770189680).

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

2672460000 is a wasteful number, since it uses less digits than its factorization.

2672460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2672460000 is about 51695.8412253829. The cubic root of 2672460000 is about 1387.7260406020.

The spelling of 2672460000 in words is "two billion, six hundred seventy-two million, four hundred sixty thousand".