2487672720 has 240 divisors, whose sum is σ = 9146674992. Its totient is φ = 602173440.

The previous prime is 2487672697. The next prime is 2487672721. The reversal of 2487672720 is 272767842.

It can be written as a sum of positive squares in 8 ways, for example, as 89415936 + 2398256784 = 9456^2 + 48972^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2487672721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568782 + ... + 573138.

Almost surely, 2^2487672720 is an apocalyptic number.

2487672720 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 2487672720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573337496).

2487672720 is an abundant number, since it is smaller than the sum of its proper divisors (6659002272).

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

2487672720 is a wasteful number, since it uses less digits than its factorization.

2487672720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 2487672720 is about 49876.5748623540. The cubic root of 2487672720 is about 1354.9743725948.

The spelling of 2487672720 in words is "two billion, four hundred eighty-seven million, six hundred seventy-two thousand, seven hundred twenty".