2461259219328 has 2560 divisors, whose sum is σ = 10120676966400. Its totient is φ = 575637995520.

The previous prime is 2461259219311. The next prime is 2461259219333. The reversal of 2461259219328 is 8239129521642.

2461259219328 is a `hidden beast` number, since 2 + 4 + 6 + 1 + 2 + 592 + 19 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 23895720525 + ... + 23895720627.

It is an arithmetic number, because the mean of its divisors is an integer number (3953389440).

Almost surely, 2^{2461259219328} is an apocalyptic number.

2461259219328 is a gapful number since it is divisible by the number (28) 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 2461259219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060338483200).

2461259219328 is an abundant number, since it is smaller than the sum of its proper divisors (7659417747072).

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

2461259219328 is a wasteful number, since it uses less digits than its factorization.

2461259219328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 2461259219328 in words is "two trillion, four hundred sixty-one billion, two hundred fifty-nine million, two hundred nineteen thousand, three hundred twenty-eight".