2676514778000 has 640 divisors, whose sum is σ = 7676268687360. Its totient is φ = 883842969600.

The previous prime is 2676514777999. The next prime is 2676514778009. The reversal of 2676514778000 is 8774156762.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2676514778009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11790813887 + ... + 11790814113.

It is an arithmetic number, because the mean of its divisors is an integer number (11994169824).

Almost surely, 2^{2676514778000} is an apocalyptic number.

2676514778000 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 2676514778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838134343680).

2676514778000 is an abundant number, since it is smaller than the sum of its proper divisors (4999753909360).

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

2676514778000 is a wasteful number, since it uses less digits than its factorization.

2676514778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 53.

The spelling of 2676514778000 in words is "two trillion, six hundred seventy-six billion, five hundred fourteen million, seven hundred seventy-eight thousand".