2733494400 has 864 divisors, whose sum is σ = 12300970500. Its totient is φ = 572866560.

The previous prime is 2733494389. The next prime is 2733494411. The reversal of 2733494400 is 44943372.

2733494400 is a `hidden beast` number, since 273 + 349 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2733494389) and next prime (2733494411).

It can be written as a sum of positive squares in 6 ways, for example, as 142277184 + 2591217216 = 11928^2 + 50904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18345526 + ... + 18345674.

Almost surely, 2^2733494400 is an apocalyptic number.

2733494400 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 2733494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150485250).

2733494400 is an abundant number, since it is smaller than the sum of its proper divisors (9567476100).

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

2733494400 is a wasteful number, since it uses less digits than its factorization.

2733494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2733494400 is about 52282.8308338407. The cubic root of 2733494400 is about 1398.2110483441.

The spelling of 2733494400 in words is "two billion, seven hundred thirty-three million, four hundred ninety-four thousand, four hundred".