2459867040 has 144 divisors (see below), whose sum is σ = 8407421568. Its totient is φ = 654939648.

The previous prime is 2459867027. The next prime is 2459867077. The reversal of 2459867040 is 407689542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1529917 + ... + 1531523.

It is an arithmetic number, because the mean of its divisors is an integer number (58384872).

Almost surely, 2^2459867040 is an apocalyptic number.

2459867040 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 2459867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203710784).

2459867040 is an abundant number, since it is smaller than the sum of its proper divisors (5947554528).

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

2459867040 is a wasteful number, since it uses less digits than its factorization.

2459867040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2459867040 is about 49597.0466862695. The cubic root of 2459867040 is about 1349.9070882558.

The spelling of 2459867040 in words is "two billion, four hundred fifty-nine million, eight hundred sixty-seven thousand, forty".