2463701329152 has 1440 divisors, whose sum is σ = 9174335385600. Its totient is φ = 641998503936.

The previous prime is 2463701329127. The next prime is 2463701329153. The reversal of 2463701329152 is 2519231073642.

It is a happy number.

2463701329152 is a `hidden beast` number, since 2 + 4 + 637 + 0 + 1 + 3 + 2 + 9 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2463701329098 and 2463701329107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2463701329153) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10758520974 + ... + 10758521202.

It is an arithmetic number, because the mean of its divisors is an integer number (6371066240).

Almost surely, 2^{2463701329152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2463701329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587167692800).

2463701329152 is an abundant number, since it is smaller than the sum of its proper divisors (6710634056448).

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

2463701329152 is a wasteful number, since it uses less digits than its factorization.

2463701329152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2463701329152 in words is "two trillion, four hundred sixty-three billion, seven hundred one million, three hundred twenty-nine thousand, one hundred fifty-two".