2049914880 has 576 divisors, whose sum is σ = 8049132000. Its totient is φ = 478937088.

The previous prime is 2049914879. The next prime is 2049914903. The reversal of 2049914880 is 884199402.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34744291 + ... + 34744349.

Almost surely, 2^2049914880 is an apocalyptic number.

2049914880 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 2049914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024566000).

2049914880 is an abundant number, since it is smaller than the sum of its proper divisors (5999217120).

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

2049914880 is a wasteful number, since it uses less digits than its factorization.

2049914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2049914880 is about 45275.9856877793. The cubic root of 2049914880 is about 1270.3165102790.

The spelling of 2049914880 in words is "two billion, forty-nine million, nine hundred fourteen thousand, eight hundred eighty".