2674285286400 has 4224 divisors, whose sum is σ = 13325117137920. Its totient is φ = 509607936000.

The previous prime is 2674285286371. The next prime is 2674285286423. The reversal of 2674285286400 is 46825824762.

2674285286400 is a `hidden beast` number, since 2 + 6 + 74 + 2 + 8 + 528 + 6 + 40 + 0 = 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 383 ways as a sum of consecutive naturals, for example, 43840742370 + ... + 43840742430.

Almost surely, 2^{2674285286400} is an apocalyptic number.

2674285286400 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 2674285286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662558568960).

2674285286400 is an abundant number, since it is smaller than the sum of its proper divisors (10650831851520).

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

2674285286400 is a wasteful number, since it uses less digits than its factorization.

2674285286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 2674285286400 in words is "two trillion, six hundred seventy-four billion, two hundred eighty-five million, two hundred eighty-six thousand, four hundred".