2928240000 has 720 divisors, whose sum is σ = 12396203820. Its totient is φ = 661248000.

The previous prime is 2928239981. The next prime is 2928240001. The reversal of 2928240000 is 428292.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928240001) 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 89 ways as a sum of consecutive naturals, for example, 35279959 + ... + 35280041.

Almost surely, 2^2928240000 is an apocalyptic number.

2928240000 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 2928240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198101910).

2928240000 is an abundant number, since it is smaller than the sum of its proper divisors (9467963820).

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

2928240000 is an equidigital number, since it uses as much as digits as its factorization.

2928240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2928240000 is about 54113.2146522455. The cubic root of 2928240000 is about 1430.6571058642.

Adding to 2928240000 its reverse (428292), we get a palindrome (2928668292).

The spelling of 2928240000 in words is "two billion, nine hundred twenty-eight million, two hundred forty thousand".