2694986400 has 144 divisors (see below), whose sum is σ = 8938115424. Its totient is φ = 705070080.

The previous prime is 2694986377. The next prime is 2694986401. The reversal of 2694986400 is 46894962.

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 2694986400.

It is not an unprimeable number, because it can be changed into a prime (2694986401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116607 + ... + 137793.

It is an arithmetic number, because the mean of its divisors is an integer number (62070246).

Almost surely, 2^2694986400 is an apocalyptic number.

2694986400 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 2694986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469057712).

2694986400 is an abundant number, since it is smaller than the sum of its proper divisors (6243129024).

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

2694986400 is a wasteful number, since it uses less digits than its factorization.

2694986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21263 (or 21250 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 2694986400 is about 51913.2584221025. The cubic root of 2694986400 is about 1391.6142245807.

The spelling of 2694986400 in words is "two billion, six hundred ninety-four million, nine hundred eighty-six thousand, four hundred".