1954016640 has 96 divisors (see below), whose sum is σ = 6747483600. Its totient is φ = 521069568.

The previous prime is 1954016569. The next prime is 1954016651. The reversal of 1954016640 is 466104591.

1954016640 is a `hidden beast` number, since 1 + 9 + 5 + 4 + 0 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 1954016595 and 1954016604.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 163860 + ... + 175379.

Almost surely, 2^1954016640 is an apocalyptic number.

1954016640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1954016640 is an abundant number, since it is smaller than the sum of its proper divisors (4793466960).

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

1954016640 is a wasteful number, since it uses less digits than its factorization.

1954016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339264 (or 339249 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1954016640 is about 44204.2604281533. The cubic root of 1954016640 is about 1250.1901875948.

The spelling of 1954016640 in words is "one billion, nine hundred fifty-four million, sixteen thousand, six hundred forty".