2989697040 has 720 divisors, whose sum is σ = 12102225408. Its totient is φ = 684288000.

The previous prime is 2989696979. The next prime is 2989697083. The reversal of 2989697040 is 407969892.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72919420 + ... + 72919460.

Almost surely, 2^2989697040 is an apocalyptic number.

2989697040 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 2989697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051112704).

2989697040 is an abundant number, since it is smaller than the sum of its proper divisors (9112528368).

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

2989697040 is a wasteful number, since it uses less digits than its factorization.

2989697040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 2989697040 is about 54678.1221330799. The cubic root of 2989697040 is about 1440.5966277682.

The spelling of 2989697040 in words is "two billion, nine hundred eighty-nine million, six hundred ninety-seven thousand, forty".