2461927398840 has 768 divisors, whose sum is σ = 10013049446400. Its totient is φ = 510773133312.

The previous prime is 2461927398727. The next prime is 2461927398851. The reversal of 2461927398840 is 488937291642.

2461927398840 is a `hidden beast` number, since 2 + 4 + 619 + 2 + 7 + 3 + 9 + 8 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×2461927398840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 680652712 + ... + 680656328.

It is an arithmetic number, because the mean of its divisors is an integer number (13037824800).

Almost surely, 2^{2461927398840} is an apocalyptic number.

2461927398840 is a gapful number since it is divisible by the number (20) 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 2461927398840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006524723200).

2461927398840 is an abundant number, since it is smaller than the sum of its proper divisors (7551122047560).

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

2461927398840 is a wasteful number, since it uses less digits than its factorization.

2461927398840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2461927398840 in words is "two trillion, four hundred sixty-one billion, nine hundred twenty-seven million, three hundred ninety-eight thousand, eight hundred forty".