1954909920 has 192 divisors, whose sum is σ = 6329352960. Its totient is φ = 507015168.

The previous prime is 1954909907. The next prime is 1954909937. The reversal of 1954909920 is 299094591.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1954909920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2861899 + ... + 2862581.

It is an arithmetic number, because the mean of its divisors is an integer number (32965380).

Almost surely, 2^1954909920 is an apocalyptic number.

1954909920 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 1954909920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164676480).

1954909920 is an abundant number, since it is smaller than the sum of its proper divisors (4374443040).

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

1954909920 is a wasteful number, since it uses less digits than its factorization.

1954909920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 48.

The square root of 1954909920 is about 44214.3632771071. The cubic root of 1954909920 is about 1250.3806669957.

The spelling of 1954909920 in words is "one billion, nine hundred fifty-four million, nine hundred nine thousand, nine hundred twenty".