1954026240 has 288 divisors, whose sum is σ = 6794746560. Its totient is φ = 476577792.

The previous prime is 1954026209. The next prime is 1954026241. The reversal of 1954026240 is 426204591.

It is not an unprimeable number, because it can be changed into a prime (1954026241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2414956 + ... + 2415764.

It is an arithmetic number, because the mean of its divisors is an integer number (23592870).

Almost surely, 2^1954026240 is an apocalyptic number.

1954026240 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 1954026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397373280).

1954026240 is an abundant number, since it is smaller than the sum of its proper divisors (4840720320).

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

1954026240 is a wasteful number, since it uses less digits than its factorization.

1954026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1954026240 is about 44204.3690148383. The cubic root of 1954026240 is about 1250.1922349684.

The spelling of 1954026240 in words is "one billion, nine hundred fifty-four million, twenty-six thousand, two hundred forty".