1954000800 has 288 divisors, whose sum is σ = 7187664960. Its totient is φ = 512179200.

The previous prime is 1954000799. The next prime is 1954000819. The reversal of 1954000800 is 80004591.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1316859 + ... + 1318341.

It is an arithmetic number, because the mean of its divisors is an integer number (24957170).

Almost surely, 2^1954000800 is an apocalyptic number.

1954000800 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 1954000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593832480).

1954000800 is an abundant number, since it is smaller than the sum of its proper divisors (5233664160).

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

1954000800 is a wasteful number, since it uses less digits than its factorization.

1954000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1954000800 is about 44204.0812595398. The cubic root of 1954000800 is about 1250.1868094137.

The spelling of 1954000800 in words is "one billion, nine hundred fifty-four million, eight hundred", and thus it is an aban number.