2924933040 has 240 divisors, whose sum is σ = 10309965120. Its totient is φ = 742103040.

The previous prime is 2924933029. The next prime is 2924933047. The reversal of 2924933040 is 403394292.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2924932986 and 2924933004.

It is not an unprimeable number, because it can be changed into a prime (2924933047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1481494 + ... + 1483466.

It is an arithmetic number, because the mean of its divisors is an integer number (42958188).

Almost surely, 2^2924933040 is an apocalyptic number.

2924933040 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 2924933040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154982560).

2924933040 is an abundant number, since it is smaller than the sum of its proper divisors (7385032080).

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

2924933040 is a wasteful number, since it uses less digits than its factorization.

2924933040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2924933040 is about 54082.6500829980. The cubic root of 2924933040 is about 1430.1183399220.

The spelling of 2924933040 in words is "two billion, nine hundred twenty-four million, nine hundred thirty-three thousand, forty".