2778537914064 has 160 divisors (see below), whose sum is σ = 8701870366080. Its totient is φ = 841845888000.

The previous prime is 2778537914057. The next prime is 2778537914071. The reversal of 2778537914064 is 4604197358772.

2778537914064 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 537 + 91 + 4 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2778537914057) and next prime (2778537914071).

It is a super-2 number, since 2×2778537914064² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2778537913992 and 2778537914010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31799524 + ... + 31886780.

It is an arithmetic number, because the mean of its divisors is an integer number (54386689788).

It is a 1-persistent number, because it is pandigital, but 2⋅2778537914064 = 5557075828128 is not.

Almost surely, 2^{2778537914064} is an apocalyptic number.

2778537914064 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 2778537914064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350935183040).

2778537914064 is an abundant number, since it is smaller than the sum of its proper divisors (5923332452016).

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

2778537914064 is a wasteful number, since it uses less digits than its factorization.

2778537914064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93986 (or 93974 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 2778537914064 in words is "two trillion, seven hundred seventy-eight billion, five hundred thirty-seven million, nine hundred fourteen thousand, sixty-four".