2672087040 has 624 divisors, whose sum is σ = 11244604800. Its totient is φ = 573308928.

The previous prime is 2672087039. The next prime is 2672087063. The reversal of 2672087040 is 407802762.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2672086986 and 2672087004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24514506 + ... + 24514614.

It is an arithmetic number, because the mean of its divisors is an integer number (18020200).

Almost surely, 2^2672087040 is an apocalyptic number.

2672087040 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 2672087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622302400).

2672087040 is an abundant number, since it is smaller than the sum of its proper divisors (8572517760).

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

2672087040 is a wasteful number, since it uses less digits than its factorization.

2672087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2672087040 is about 51692.2338461011. The cubic root of 2672087040 is about 1387.6614820576.

The spelling of 2672087040 in words is "two billion, six hundred seventy-two million, eighty-seven thousand, forty".