2481217840 has 40 divisors (see below), whose sum is σ = 5819904288. Its totient is φ = 983700480.

The previous prime is 2481217819. The next prime is 2481217861. The reversal of 2481217840 is 487121842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2481217819) and next prime (2481217861).

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2481217840.

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 7 ways as a sum of consecutive naturals, for example, 128196 + ... + 146275.

Almost surely, 2^2481217840 is an apocalyptic number.

2481217840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2481217840 is an abundant number, since it is smaller than the sum of its proper divisors (3338686448).

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

2481217840 is a wasteful number, since it uses less digits than its factorization.

2481217840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274597 (or 274591 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 2481217840 is about 49811.8242990557. The cubic root of 2481217840 is about 1353.8014191817.

The spelling of 2481217840 in words is "two billion, four hundred eighty-one million, two hundred seventeen thousand, eight hundred forty".