1995954048 has 480 divisors, whose sum is σ = 6861411480. Its totient is φ = 574801920.

The previous prime is 1995954041. The next prime is 1995954049. The reversal of 1995954048 is 8404595991.

1995954048 is a `hidden beast` number, since 1 + 9 + 9 + 59 + 540 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1995953985 and 1995954003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995954041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46417515 + ... + 46417557.

Almost surely, 2^1995954048 is an apocalyptic number.

1995954048 is a gapful number since it is divisible by the number (18) 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 1995954048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430705740).

1995954048 is an abundant number, since it is smaller than the sum of its proper divisors (4865457432).

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

1995954048 is a wasteful number, since it uses less digits than its factorization.

1995954048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 1995954048 is about 44676.1015309080. The cubic root of 1995954048 is about 1259.0708796636.

The spelling of 1995954048 in words is "one billion, nine hundred ninety-five million, nine hundred fifty-four thousand, forty-eight".