2549399440 has 240 divisors, whose sum is σ = 7155077760. Its totient is φ = 841881600.

The previous prime is 2549399399. The next prime is 2549399459. The reversal of 2549399440 is 449939452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16883365 + ... + 16883515.

It is an arithmetic number, because the mean of its divisors is an integer number (29812824).

Almost surely, 2^2549399440 is an apocalyptic number.

2549399440 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 2549399440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577538880).

2549399440 is an abundant number, since it is smaller than the sum of its proper divisors (4605678320).

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

2549399440 is a wasteful number, since it uses less digits than its factorization.

2549399440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

The square root of 2549399440 is about 50491.5779115686. The cubic root of 2549399440 is about 1366.0899468949.

The spelling of 2549399440 in words is "two billion, five hundred forty-nine million, three hundred ninety-nine thousand, four hundred forty".