1954139616 has 288 divisors, whose sum is σ = 6815757312. Its totient is φ = 522593280.

The previous prime is 1954139611. The next prime is 1954139659. The reversal of 1954139616 is 6169314591.

1954139616 is a `hidden beast` number, since 1 + 9 + 541 + 3 + 96 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1954139611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 946201 + ... + 948263.

It is an arithmetic number, because the mean of its divisors is an integer number (23665824).

Almost surely, 2^1954139616 is an apocalyptic number.

1954139616 is a gapful number since it is divisible by the number (16) 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 1954139616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407878656).

1954139616 is an abundant number, since it is smaller than the sum of its proper divisors (4861617696).

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

1954139616 is a wasteful number, since it uses less digits than its factorization.

1954139616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2115 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 1954139616 is about 44205.6514034122. The cubic root of 1954139616 is about 1250.2164139432.

The spelling of 1954139616 in words is "one billion, nine hundred fifty-four million, one hundred thirty-nine thousand, six hundred sixteen".