1954005144 has 384 divisors, whose sum is σ = 6672960000. Its totient is φ = 472469760.

The previous prime is 1954005133. The next prime is 1954005167. The reversal of 1954005144 is 4415004591.

It is a super-2 number, since 2×1954005144² = 7636272205556921472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63032409 + ... + 63032439.

It is an arithmetic number, because the mean of its divisors is an integer number (17377500).

Almost surely, 2^1954005144 is an apocalyptic number.

1954005144 is a gapful number since it is divisible by the number (14) 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 1954005144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336480000).

1954005144 is an abundant number, since it is smaller than the sum of its proper divisors (4718954856).

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

1954005144 is a wasteful number, since it uses less digits than its factorization.

1954005144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1954005144 is about 44204.1303952470. The cubic root of 1954005144 is about 1250.1877358561.

The spelling of 1954005144 in words is "one billion, nine hundred fifty-four million, five thousand, one hundred forty-four".