2649407040 has 336 divisors, whose sum is σ = 10515892608. Its totient is φ = 599703552.

The previous prime is 2649407039. The next prime is 2649407087. The reversal of 2649407040 is 407049462.

2649407040 is a `hidden beast` number, since 2 + 649 + 4 + 0 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 2649406986 and 2649407004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2277499 + ... + 2278661.

Almost surely, 2^2649407040 is an apocalyptic number.

2649407040 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 2649407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257946304).

2649407040 is an abundant number, since it is smaller than the sum of its proper divisors (7866485568).

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

2649407040 is a wasteful number, since it uses less digits than its factorization.

2649407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1293 counting only the distinct ones).

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

The square root of 2649407040 is about 51472.3910460744. The cubic root of 2649407040 is about 1383.7242815607.

The spelling of 2649407040 in words is "two billion, six hundred forty-nine million, four hundred seven thousand, forty".