2672703540 has 336 divisors, whose sum is σ = 9254649600. Its totient is φ = 644039424.

The previous prime is 2672703503. The next prime is 2672703541. The reversal of 2672703540 is 453072762.

It is a happy number.

2672703540 is digitally balanced in base 2, because in such base 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2672703495 and 2672703504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672703541) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11182741 + ... + 11182979.

It is an arithmetic number, because the mean of its divisors is an integer number (27543600).

Almost surely, 2^2672703540 is an apocalyptic number.

2672703540 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 2672703540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627324800).

2672703540 is an abundant number, since it is smaller than the sum of its proper divisors (6581946060).

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

2672703540 is a wasteful number, since it uses less digits than its factorization.

2672703540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2672703540 is about 51698.1966803485. The cubic root of 2672703540 is about 1387.7681935914.

The spelling of 2672703540 in words is "two billion, six hundred seventy-two million, seven hundred three thousand, five hundred forty".