2414004000 has 96 divisors (see below), whose sum is σ = 7908316416. Its totient is φ = 643731200.

The previous prime is 2414003957. The next prime is 2414004001. The reversal of 2414004000 is 4004142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2414004001) 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, 88584 + ... + 112583.

It is an arithmetic number, because the mean of its divisors is an integer number (82378296).

Almost surely, 2^2414004000 is an apocalyptic number.

2414004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414004000 is an abundant number, since it is smaller than the sum of its proper divisors (5494312416).

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

2414004000 is a wasteful number, since it uses less digits than its factorization.

2414004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201195 (or 201177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2414004000 is about 49132.5146924112. The cubic root of 2414004000 is about 1341.4649457323.

Adding to 2414004000 its reverse (4004142), we get a palindrome (2418008142).

The spelling of 2414004000 in words is "two billion, four hundred fourteen million, four thousand".