2424242688 has 160 divisors (see below), whose sum is σ = 7702649856. Its totient is φ = 662458368.

The previous prime is 2424242671. The next prime is 2424242713. The reversal of 2424242688 is 8862424242.

2424242688 = T₅₄₀₇ + T₅₄₀₈ + ... + T₅₅₆₇.

It is a super-2 number, since 2×2424242688² = 11753905220642930688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242395 + ... + 252197.

Almost surely, 2^2424242688 is an apocalyptic number.

2424242688 is a gapful number since it is divisible by the number (28) 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 2424242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851324928).

2424242688 is an abundant number, since it is smaller than the sum of its proper divisors (5278407168).

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

2424242688 is an equidigital number, since it uses as much as digits as its factorization.

2424242688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9854 (or 9838 counting only the distinct ones).

The product of its digits is 393216, while the sum is 42.

The square root of 2424242688 is about 49236.5990702039. The cubic root of 2424242688 is about 1343.3588211471.

The spelling of 2424242688 in words is "two billion, four hundred twenty-four million, two hundred forty-two thousand, six hundred eighty-eight".