2689727040 has 896 divisors, whose sum is σ = 12781117440. Its totient is φ = 514252800.

The previous prime is 2689727021. The next prime is 2689727041. The reversal of 2689727040 is 407279862.

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 (2689727041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8648485 + ... + 8648795.

It is an arithmetic number, because the mean of its divisors is an integer number (14264640).

Almost surely, 2^2689727040 is an apocalyptic number.

2689727040 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 2689727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390558720).

2689727040 is an abundant number, since it is smaller than the sum of its proper divisors (10091390400).

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

2689727040 is a wasteful number, since it uses less digits than its factorization.

2689727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2689727040 is about 51862.5784164266. The cubic root of 2689727040 is about 1390.7083738188.

The spelling of 2689727040 in words is "two billion, six hundred eighty-nine million, seven hundred twenty-seven thousand, forty".