1954794816 has 224 divisors, whose sum is σ = 6236939520. Its totient is φ = 596809728.

The previous prime is 1954794799. The next prime is 1954794839. The reversal of 1954794816 is 6184974591.

1954794816 is a `hidden beast` number, since 1 + 9 + 547 + 94 + 8 + 1 + 6 = 666.

It is a super-3 number, since 3×1954794816³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3886021 + ... + 3886523.

It is an arithmetic number, because the mean of its divisors is an integer number (27843480).

Almost surely, 2^1954794816 is an apocalyptic number.

1954794816 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 1954794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118469760).

1954794816 is an abundant number, since it is smaller than the sum of its proper divisors (4282144704).

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

1954794816 is a wasteful number, since it uses less digits than its factorization.

1954794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 694 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 1954794816 is about 44213.0615994866. The cubic root of 1954794816 is about 1250.3561259431.

The spelling of 1954794816 in words is "one billion, nine hundred fifty-four million, seven hundred ninety-four thousand, eight hundred sixteen".