1914778240 has 128 divisors (see below), whose sum is σ = 4776145920. Its totient is φ = 733224960.

The previous prime is 1914778213. The next prime is 1914778241. The reversal of 1914778240 is 428774191.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1914778241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2043052 + ... + 2043988.

It is an arithmetic number, because the mean of its divisors is an integer number (37313640).

Almost surely, 2^1914778240 is an apocalyptic number.

1914778240 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 1914778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388072960).

1914778240 is an abundant number, since it is smaller than the sum of its proper divisors (2861367680).

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

1914778240 is a wasteful number, since it uses less digits than its factorization.

1914778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 1914778240 is about 43758.1791211655. The cubic root of 1914778240 is about 1241.7652278162.

The spelling of 1914778240 in words is "one billion, nine hundred fourteen million, seven hundred seventy-eight thousand, two hundred forty".