2401463610 has 192 divisors, whose sum is σ = 7950458880. Its totient is φ = 489162240.

The previous prime is 2401463609. The next prime is 2401463611. The reversal of 2401463610 is 163641042.

2401463610 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 46 + 3 + 610 = 666.

It is an interprime number because it is at equal distance from previous prime (2401463609) and next prime (2401463611).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2401463611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232455 + ... + 242565.

It is an arithmetic number, because the mean of its divisors is an integer number (41408640).

Almost surely, 2^2401463610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401463610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975229440).

2401463610 is an abundant number, since it is smaller than the sum of its proper divisors (5548995270).

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

2401463610 is a wasteful number, since it uses less digits than its factorization.

2401463610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10173 (or 10170 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2401463610 is about 49004.7304859439. The cubic root of 2401463610 is about 1339.1380084024.

The spelling of 2401463610 in words is "two billion, four hundred one million, four hundred sixty-three thousand, six hundred ten".