2415142401 has 16 divisors (see below), whose sum is σ = 3716658048. Its totient is φ = 1366416000.

The previous prime is 2415142381. The next prime is 2415142409. The reversal of 2415142401 is 1042415142.

It is not a de Polignac number, because 2415142401 - 2⁷ = 2415142273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2415142409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567220 + ... + 571461.

It is an arithmetic number, because the mean of its divisors is an integer number (232291128).

Almost surely, 2^2415142401 is an apocalyptic number.

2415142401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2415142401 is a deficient number, since it is larger than the sum of its proper divisors (1301515647).

2415142401 is a wasteful number, since it uses less digits than its factorization.

2415142401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138792.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2415142401 is about 49144.0983333706. The cubic root of 2415142401 is about 1341.6757828648.

Adding to 2415142401 its reverse (1042415142), we get a palindrome (3457557543).

The spelling of 2415142401 in words is "two billion, four hundred fifteen million, one hundred forty-two thousand, four hundred one".