2671261286400 has 1728 divisors, whose sum is σ = 11515868919360. Its totient is φ = 601974374400.

The previous prime is 2671261286387. The next prime is 2671261286417. The reversal of 2671261286400 is 46821621762.

2671261286400 is a `hidden beast` number, since 2 + 6 + 71 + 261 + 286 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 37623398365 + ... + 37623398435.

It is an arithmetic number, because the mean of its divisors is an integer number (6664275995).

Almost surely, 2^{2671261286400} is an apocalyptic number.

2671261286400 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 2671261286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757934459680).

2671261286400 is an abundant number, since it is smaller than the sum of its proper divisors (8844607632960).

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

2671261286400 is an frugal number, since it uses more digits than its factorization.

2671261286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2671261286400 in words is "two trillion, six hundred seventy-one billion, two hundred sixty-one million, two hundred eighty-six thousand, four hundred".