1954031904 has 144 divisors (see below), whose sum is σ = 6264810720. Its totient is φ = 592099200.

The previous prime is 1954031887. The next prime is 1954031921. The reversal of 1954031904 is 4091304591.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1954031887) and next prime (1954031921).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95199 + ... + 113889.

It is an arithmetic number, because the mean of its divisors is an integer number (43505630).

Almost surely, 2^1954031904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1954031904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132405360).

1954031904 is an abundant number, since it is smaller than the sum of its proper divisors (4310778816).

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

1954031904 is a wasteful number, since it uses less digits than its factorization.

1954031904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18732 (or 18707 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1954031904 is about 44204.4330808574. The cubic root of 1954031904 is about 1250.1934429157.

The spelling of 1954031904 in words is "one billion, nine hundred fifty-four million, thirty-one thousand, nine hundred four".