2893932720 has 240 divisors, whose sum is σ = 11290473792. Its totient is φ = 650557440.

The previous prime is 2893932719. The next prime is 2893932761. The reversal of 2893932720 is 272393982.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302734 + ... + 312146.

Almost surely, 2^2893932720 is an apocalyptic number.

2893932720 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 2893932720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645236896).

2893932720 is an abundant number, since it is smaller than the sum of its proper divisors (8396541072).

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

2893932720 is a wasteful number, since it uses less digits than its factorization.

2893932720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2893932720 is about 53795.2852952747. The cubic root of 2893932720 is about 1425.0479466785.

The spelling of 2893932720 in words is "two billion, eight hundred ninety-three million, nine hundred thirty-two thousand, seven hundred twenty".