2024934912 has 480 divisors, whose sum is σ = 7864496640. Its totient is φ = 484392960.

The previous prime is 2024934871. The next prime is 2024934917. The reversal of 2024934912 is 2194394202.

It is a super-2 number, since 2×2024934912² = 8200722795672895488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024934917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4612389 + ... + 4612827.

It is an arithmetic number, because the mean of its divisors is an integer number (16384368).

Almost surely, 2^2024934912 is an apocalyptic number.

2024934912 is a gapful number since it is divisible by the number (22) 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 2024934912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932248320).

2024934912 is an abundant number, since it is smaller than the sum of its proper divisors (5839561728).

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

2024934912 is a wasteful number, since it uses less digits than its factorization.

2024934912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2024934912 is about 44999.2767941886. The cubic root of 2024934912 is about 1265.1354429073.

The spelling of 2024934912 in words is "two billion, twenty-four million, nine hundred thirty-four thousand, nine hundred twelve".