2874827726064 has 240 divisors, whose sum is σ = 9290575008000. Its totient is φ = 812853909504.

The previous prime is 2874827726047. The next prime is 2874827726149. The reversal of 2874827726064 is 4606277284782.

It is a happy number.

2874827726064 is a `hidden beast` number, since 2 + 8 + 7 + 48 + 277 + 260 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2874827725992 and 2874827726010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75043587 + ... + 75081885.

It is an arithmetic number, because the mean of its divisors is an integer number (38710729200).

Almost surely, 2^{2874827726064} is an apocalyptic number.

2874827726064 is a gapful number since it is divisible by the number (24) 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 2874827726064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645287504000).

2874827726064 is an abundant number, since it is smaller than the sum of its proper divisors (6415747281936).

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

2874827726064 is a wasteful number, since it uses less digits than its factorization.

2874827726064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39092 (or 39083 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 2874827726064 in words is "two trillion, eight hundred seventy-four billion, eight hundred twenty-seven million, seven hundred twenty-six thousand, sixty-four".