2549015040 has 480 divisors, whose sum is σ = 9691754688. Its totient is φ = 567705600.

The previous prime is 2549015011. The next prime is 2549015041. The reversal of 2549015040 is 405109452.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2549014989 and 2549015007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2549015041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12080535 + ... + 12080745.

Almost surely, 2^2549015040 is an apocalyptic number.

2549015040 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 2549015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845877344).

2549015040 is an abundant number, since it is smaller than the sum of its proper divisors (7142739648).

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

2549015040 is a wasteful number, since it uses less digits than its factorization.

2549015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2549015040 is about 50487.7711926363. The cubic root of 2549015040 is about 1366.0212834857.

The spelling of 2549015040 in words is "two billion, five hundred forty-nine million, fifteen thousand, forty".