2468881175040 has 1280 divisors, whose sum is σ = 10453730918400. Its totient is φ = 540550692864.

The previous prime is 2468881175027. The next prime is 2468881175069. The reversal of 2468881175040 is 405711888642.

2468881175040 is a `hidden beast` number, since 2 + 46 + 8 + 8 + 81 + 17 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×2468881175040³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1102670241 + ... + 1102672479.

It is an arithmetic number, because the mean of its divisors is an integer number (8166977280).

Almost surely, 2^{2468881175040} is an apocalyptic number.

2468881175040 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 2468881175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226865459200).

2468881175040 is an abundant number, since it is smaller than the sum of its proper divisors (7984849743360).

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

2468881175040 is a wasteful number, since it uses less digits than its factorization.

2468881175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 2468881175040 in words is "two trillion, four hundred sixty-eight billion, eight hundred eighty-one million, one hundred seventy-five thousand, forty".