2677811804400 has 120 divisors (see below), whose sum is σ = 8587708173424. Its totient is φ = 713268633600.

The previous prime is 2677811804377. The next prime is 2677811804411. The reversal of 2677811804400 is 44081187762.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2677811804400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219841 + ... + 2324640.

Almost surely, 2^{2677811804400} is an apocalyptic number.

2677811804400 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 2677811804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293854086712).

2677811804400 is an abundant number, since it is smaller than the sum of its proper divisors (5909896369024).

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

2677811804400 is a wasteful number, since it uses less digits than its factorization.

2677811804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545379 (or 2545368 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 2677811804400 in words is "two trillion, six hundred seventy-seven billion, eight hundred eleven million, eight hundred four thousand, four hundred".