2400342021 has 48 divisors (see below), whose sum is σ = 4363227648. Its totient is φ = 1235239200.

The previous prime is 2400342019. The next prime is 2400342023. The reversal of 2400342021 is 1202430042.

2400342021 is a `hidden beast` number, since 240 + 0 + 3 + 420 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2400342019) and next prime (2400342023).

It is not a de Polignac number, because 2400342021 - 2¹ = 2400342019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2400341985 and 2400342003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400342023) 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, 57966 + ... + 90336.

It is an arithmetic number, because the mean of its divisors is an integer number (90900576).

Almost surely, 2^2400342021 is an apocalyptic number.

2400342021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2400342021 is a deficient number, since it is larger than the sum of its proper divisors (1962885627).

2400342021 is a wasteful number, since it uses less digits than its factorization.

2400342021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32502 (or 32499 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2400342021 is about 48993.2854685211. The cubic root of 2400342021 is about 1338.9294971787.

Adding to 2400342021 its reverse (1202430042), we get a palindrome (3602772063).

The spelling of 2400342021 in words is "two billion, four hundred million, three hundred forty-two thousand, twenty-one".