2672693520 has 640 divisors, whose sum is σ = 10711695360. Its totient is φ = 537477120.

The previous prime is 2672693519. The next prime is 2672693521. The reversal of 2672693520 is 253962762.

It is an interprime number because it is at equal distance from previous prime (2672693519) and next prime (2672693521).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2672693521) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 36612204 + ... + 36612276.

It is an arithmetic number, because the mean of its divisors is an integer number (16737024).

Almost surely, 2^2672693520 is an apocalyptic number.

2672693520 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 2672693520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355847680).

2672693520 is an abundant number, since it is smaller than the sum of its proper divisors (8039001840).

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

2672693520 is a wasteful number, since it uses less digits than its factorization.

2672693520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 2672693520 is about 51698.0997716551. The cubic root of 2672693520 is about 1387.7664593356.

The spelling of 2672693520 in words is "two billion, six hundred seventy-two million, six hundred ninety-three thousand, five hundred twenty".