1954800000 has 384 divisors, whose sum is σ = 7251098400. Its totient is φ = 518400000.

The previous prime is 1954799989. The next prime is 1954800011. The reversal of 1954800000 is 84591.

It is an interprime number because it is at equal distance from previous prime (1954799989) and next prime (1954800011).

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 10799910 + ... + 10800090.

Almost surely, 2^1954800000 is an apocalyptic number.

1954800000 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 1954800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625549200).

1954800000 is an abundant number, since it is smaller than the sum of its proper divisors (5296298400).

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

1954800000 is an frugal number, since it uses more digits than its factorization.

1954800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

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

The square root of 1954800000 is about 44213.1202246573. The cubic root of 1954800000 is about 1250.3572312323.

Adding to 1954800000 its reverse (84591), we get a palindrome (1954884591).

The spelling of 1954800000 in words is "one billion, nine hundred fifty-four million, eight hundred thousand".