1949048640 has 1008 divisors, whose sum is σ = 9106546176. Its totient is φ = 373063680.

The previous prime is 1949048639. The next prime is 1949048653. The reversal of 1949048640 is 468409491.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 41469097 + ... + 41469143.

It is an arithmetic number, because the mean of its divisors is an integer number (9034272).

Almost surely, 2^1949048640 is an apocalyptic number.

1949048640 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 1949048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553273088).

1949048640 is an abundant number, since it is smaller than the sum of its proper divisors (7157497536).

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

1949048640 is a wasteful number, since it uses less digits than its factorization.

1949048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1949048640 is about 44148.0309866703. The cubic root of 1949048640 is about 1249.1297708349.

The spelling of 1949048640 in words is "one billion, nine hundred forty-nine million, forty-eight thousand, six hundred forty".