2672497440 has 432 divisors, whose sum is σ = 9907862328. Its totient is φ = 655589376.

The previous prime is 2672497433. The next prime is 2672497447. The reversal of 2672497440 is 447942762.

It is an interprime number because it is at equal distance from previous prime (2672497433) and next prime (2672497447).

It can be written as a sum of positive squares in 4 ways, for example, as 2314379664 + 358117776 = 48108^2 + 18924^2 .

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 (2672497447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27551472 + ... + 27551568.

Almost surely, 2^2672497440 is an apocalyptic number.

2672497440 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 2672497440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953931164).

2672497440 is an abundant number, since it is smaller than the sum of its proper divisors (7235364888).

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

2672497440 is a wasteful number, since it uses less digits than its factorization.

2672497440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2672497440 is about 51696.2033422185. The cubic root of 2672497440 is about 1387.7325210508.

The spelling of 2672497440 in words is "two billion, six hundred seventy-two million, four hundred ninety-seven thousand, four hundred forty".