2924893440 has 864 divisors, whose sum is σ = 12856596480. Its totient is φ = 598523904.

The previous prime is 2924893429. The next prime is 2924893451. The reversal of 2924893440 is 443984292.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2924893429) and next prime (2924893451).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 35239639 + ... + 35239721.

It is an arithmetic number, because the mean of its divisors is an integer number (14880320).

Almost surely, 2^2924893440 is an apocalyptic number.

2924893440 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 2924893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428298240).

2924893440 is an abundant number, since it is smaller than the sum of its proper divisors (9931703040).

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

2924893440 is a wasteful number, since it uses less digits than its factorization.

2924893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2924893440 is about 54082.2839754388. The cubic root of 2924893440 is about 1430.1118858778. Note that the first 3 decimals are identical.

The spelling of 2924893440 in words is "two billion, nine hundred twenty-four million, eight hundred ninety-three thousand, four hundred forty".