2427042400 has 144 divisors (see below), whose sum is σ = 6408714816. Its totient is φ = 894033920.

The previous prime is 2427042391. The next prime is 2427042413. The reversal of 2427042400 is 42407242.

It is a happy number.

It is a super-2 number, since 2×2427042400² = 11781069622795520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637302 + ... + 641098.

It is an arithmetic number, because the mean of its divisors is an integer number (44504964).

Almost surely, 2^2427042400 is an apocalyptic number.

2427042400 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 2427042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204357408).

2427042400 is an abundant number, since it is smaller than the sum of its proper divisors (3981672416).

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

2427042400 is a wasteful number, since it uses less digits than its factorization.

2427042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 2427042400 is about 49265.0220744901. The cubic root of 2427042400 is about 1343.8757620893.

Adding to 2427042400 its reverse (42407242), we get a palindrome (2469449642).

The spelling of 2427042400 in words is "two billion, four hundred twenty-seven million, forty-two thousand, four hundred".