1954100736 has 240 divisors, whose sum is σ = 6670778400. Its totient is φ = 538804224.

The previous prime is 1954100693. The next prime is 1954100737. The reversal of 1954100736 is 6370014591.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1954100736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1954100737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 934380 + ... + 936468.

It is an arithmetic number, because the mean of its divisors is an integer number (27794910).

Almost surely, 2^1954100736 is an apocalyptic number.

1954100736 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 1954100736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335389200).

1954100736 is an abundant number, since it is smaller than the sum of its proper divisors (4716677664).

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

1954100736 is a wasteful number, since it uses less digits than its factorization.

1954100736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1954100736 is about 44205.2116384482. The cubic root of 1954100736 is about 1250.2081223595.

The spelling of 1954100736 in words is "one billion, nine hundred fifty-four million, one hundred thousand, seven hundred thirty-six".