2696774400 has 162 divisors, whose sum is σ = 9641783060. Its totient is φ = 719124480.

The previous prime is 2696774389. The next prime is 2696774401. The reversal of 2696774400 is 44776962.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2696774401) 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 17 ways as a sum of consecutive naturals, for example, 34191 + ... + 81009.

Almost surely, 2^2696774400 is an apocalyptic number.

2696774400 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 2696774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820891530).

2696774400 is an abundant number, since it is smaller than the sum of its proper divisors (6945008660).

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

2696774400 is a wasteful number, since it uses less digits than its factorization.

2696774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46851 (or 46829 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2696774400 is about 51930.4766009325. The cubic root of 2696774400 is about 1391.9219139709.

The spelling of 2696774400 in words is "two billion, six hundred ninety-six million, seven hundred seventy-four thousand, four hundred".