2400101010 has 32 divisors (see below), whose sum is σ = 6400270080. Its totient is φ = 640026864.

The previous prime is 2400100999. The next prime is 2400101027. The reversal of 2400101010 is 101010042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

2400101010 is a modest number, since divided by 101010 gives 2400 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2400100983 and 2400101001.

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, 4444362 + ... + 4444901.

It is an arithmetic number, because the mean of its divisors is an integer number (200008440).

Almost surely, 2^2400101010 is an apocalyptic number.

2400101010 is an abundant number, since it is smaller than the sum of its proper divisors (4000169070).

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

2400101010 is a wasteful number, since it uses less digits than its factorization.

2400101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8889279 (or 8889273 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2400101010 is about 48990.8257738120. The cubic root of 2400101010 is about 1338.8846830737.

Adding to 2400101010 its reverse (101010042), we get a palindrome (2501111052).

The spelling of 2400101010 in words is "two billion, four hundred million, one hundred one thousand, ten".