2549513120 has 576 divisors, whose sum is σ = 8488779264. Its totient is φ = 712212480.

The previous prime is 2549513107. The next prime is 2549513149. The reversal of 2549513120 is 213159452.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 54244937 + ... + 54244983.

It is an arithmetic number, because the mean of its divisors is an integer number (14737464).

Almost surely, 2^2549513120 is an apocalyptic number.

2549513120 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 2549513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244389632).

2549513120 is an abundant number, since it is smaller than the sum of its proper divisors (5939266144).

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

2549513120 is a wasteful number, since it uses less digits than its factorization.

2549513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 2549513120 is about 50492.7036313169. The cubic root of 2549513120 is about 1366.1102516504.

The spelling of 2549513120 in words is "two billion, five hundred forty-nine million, five hundred thirteen thousand, one hundred twenty".