2676404245536 has 1152 divisors, whose sum is σ = 9730547366400. Its totient is φ = 700661145600.

The previous prime is 2676404245531. The next prime is 2676404245651. The reversal of 2676404245536 is 6355424046762.

2676404245536 is a `hidden beast` number, since 2 + 6 + 7 + 6 + 40 + 42 + 4 + 553 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2676404245531) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11687354670 + ... + 11687354898.

It is an arithmetic number, because the mean of its divisors is an integer number (8446655700).

Almost surely, 2^{2676404245536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2676404245536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865273683200).

2676404245536 is an abundant number, since it is smaller than the sum of its proper divisors (7054143120864).

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

2676404245536 is a wasteful number, since it uses less digits than its factorization.

2676404245536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 2676404245536 in words is "two trillion, six hundred seventy-six billion, four hundred four million, two hundred forty-five thousand, five hundred thirty-six".