2402461876224 has 136 divisors (see below), whose sum is σ = 6416254700352. Its totient is φ = 799603425280.

The previous prime is 2402461876211. The next prime is 2402461876237. The reversal of 2402461876224 is 4226781642042.

It is an interprime number because it is at equal distance from previous prime (2402461876211) and next prime (2402461876237).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134274319 + ... + 134292209.

Almost surely, 2^{2402461876224} is an apocalyptic number.

2402461876224 is a gapful number since it is divisible by the number (24) 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 2402461876224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208127350176).

2402461876224 is an abundant number, since it is smaller than the sum of its proper divisors (4013792824128).

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

2402461876224 is an frugal number, since it uses more digits than its factorization.

2402461876224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18609 (or 18579 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 2402461876224 in words is "two trillion, four hundred two billion, four hundred sixty-one million, eight hundred seventy-six thousand, two hundred twenty-four".