2749400640 has 168 divisors, whose sum is σ = 10807842240. Its totient is φ = 628429824.

The previous prime is 2749400587. The next prime is 2749400669. The reversal of 2749400640 is 460049472.

2749400640 is a `hidden beast` number, since 2 + 7 + 4 + 9 + 4 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 2749400595 and 2749400604.

It is an unprimeable number.

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, 48030 + ... + 88349.

Almost surely, 2^2749400640 is an apocalyptic number.

2749400640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2749400640 is an abundant number, since it is smaller than the sum of its proper divisors (8058441600).

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

2749400640 is a wasteful number, since it uses less digits than its factorization.

2749400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136409 (or 136396 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2749400640 is about 52434.7274237218. The cubic root of 2749400640 is about 1400.9178742781.

The spelling of 2749400640 in words is "two billion, seven hundred forty-nine million, four hundred thousand, six hundred forty".