1914978240 has 224 divisors, whose sum is σ = 7720949760. Its totient is φ = 437695488.

The previous prime is 1914978223. The next prime is 1914978269. The reversal of 1914978240 is 428794191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44649 + ... + 76311.

Almost surely, 2^1914978240 is an apocalyptic number.

1914978240 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 1914978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860474880).

1914978240 is an abundant number, since it is smaller than the sum of its proper divisors (5805971520).

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

1914978240 is a wasteful number, since it uses less digits than its factorization.

1914978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31696 (or 31680 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1914978240 is about 43760.4643485418. The cubic root of 1914978240 is about 1241.8084607425.

The spelling of 1914978240 in words is "one billion, nine hundred fourteen million, nine hundred seventy-eight thousand, two hundred forty".