1949998560 has 96 divisors (see below), whose sum is σ = 6153356160. Its totient is φ = 519080448.

The previous prime is 1949998559. The next prime is 1949998573. The reversal of 1949998560 is 658999491.

1949998560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1949998494 and 1949998503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293839 + ... + 300401.

It is an arithmetic number, because the mean of its divisors is an integer number (64097460).

Almost surely, 2^1949998560 is an apocalyptic number.

1949998560 is a gapful number since it is divisible by the number (10) 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 1949998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076678080).

1949998560 is an abundant number, since it is smaller than the sum of its proper divisors (4203357600).

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

1949998560 is a wasteful number, since it uses less digits than its factorization.

1949998560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7200 (or 7192 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 60.

The square root of 1949998560 is about 44158.7880268469. The cubic root of 1949998560 is about 1249.3326699332.

The spelling of 1949998560 in words is "one billion, nine hundred forty-nine million, nine hundred ninety-eight thousand, five hundred sixty".