1954808640 has 336 divisors, whose sum is σ = 7282574208. Its totient is φ = 498161664.

The previous prime is 1954808621. The next prime is 1954808657. The reversal of 1954808640 is 468084591.

1954808640 is a `hidden beast` number, since 1 + 95 + 480 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787934 + ... + 1789026.

It is an arithmetic number, because the mean of its divisors is an integer number (21674328).

Almost surely, 2^1954808640 is an apocalyptic number.

1954808640 is a gapful number since it is divisible by the number (10) 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 1954808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641287104).

1954808640 is an abundant number, since it is smaller than the sum of its proper divisors (5327765568).

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

1954808640 is a wasteful number, since it uses less digits than its factorization.

1954808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1954808640 is about 44213.2179331023. The cubic root of 1954808640 is about 1250.3590733765.

The spelling of 1954808640 in words is "one billion, nine hundred fifty-four million, eight hundred eight thousand, six hundred forty".