1949209920 has 336 divisors, whose sum is σ = 7948257408. Its totient is φ = 445409280.

The previous prime is 1949209891. The next prime is 1949209937. The reversal of 1949209920 is 299029491.

It is a tau number, because it is divible by the number of its divisors (336).

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, 542530 + ... + 546110.

It is an arithmetic number, because the mean of its divisors is an integer number (23655528).

Almost surely, 2^1949209920 is an apocalyptic number.

1949209920 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 1949209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974128704).

1949209920 is an abundant number, since it is smaller than the sum of its proper divisors (5999047488).

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

1949209920 is an equidigital number, since it uses as much as digits as its factorization.

1949209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 1949209920 is about 44149.8575309140. The cubic root of 1949209920 is about 1249.1642242410.

The spelling of 1949209920 in words is "one billion, nine hundred forty-nine million, two hundred nine thousand, nine hundred twenty".