2924212840 has 128 divisors (see below), whose sum is σ = 7113173760. Its totient is φ = 1077981184.

The previous prime is 2924212787. The next prime is 2924212843. The reversal of 2924212840 is 482124292.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2924212796 and 2924212805.

It is not an unprimeable number, because it can be changed into a prime (2924212843) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11118549 + ... + 11118811.

It is an arithmetic number, because the mean of its divisors is an integer number (55571670).

Almost surely, 2^2924212840 is an apocalyptic number.

2924212840 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 2924212840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556586880).

2924212840 is an abundant number, since it is smaller than the sum of its proper divisors (4188960920).

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

2924212840 is a wasteful number, since it uses less digits than its factorization.

2924212840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2924212840 is about 54075.9913455130. The cubic root of 2924212840 is about 1430.0009519612. Note that the first 3 decimals are identical.

The spelling of 2924212840 in words is "two billion, nine hundred twenty-four million, two hundred twelve thousand, eight hundred forty".