1914958920 has 128 divisors (see below), whose sum is σ = 6580362240. Its totient is φ = 436719360.

The previous prime is 1914958919. The next prime is 1914958921. The reversal of 1914958920 is 298594191.

It is an interprime number because it is at equal distance from previous prime (1914958919) and next prime (1914958921).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1914958920.

It is not an unprimeable number, because it can be changed into a prime (1914958921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410119 + ... + 414761.

It is an arithmetic number, because the mean of its divisors is an integer number (51409080).

Almost surely, 2^1914958920 is an apocalyptic number.

1914958920 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 1914958920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290181120).

1914958920 is an abundant number, since it is smaller than the sum of its proper divisors (4665403320).

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

1914958920 is a wasteful number, since it uses less digits than its factorization.

1914958920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The square root of 1914958920 is about 43760.2436007845. The cubic root of 1914958920 is about 1241.8042845731.

The spelling of 1914958920 in words is "one billion, nine hundred fourteen million, nine hundred fifty-eight thousand, nine hundred twenty".