1954791072 has 72 divisors (see below), whose sum is σ = 5986559124. Its totient is φ = 601473024.

The previous prime is 1954791061. The next prime is 1954791077. The reversal of 1954791072 is 2701974591.

1954791072 is a `hidden beast` number, since 19 + 547 + 91 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1691183376 + 263607696 = 41124^2 + 16236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1954791077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257313 + ... + 264800.

Almost surely, 2^1954791072 is an apocalyptic number.

1954791072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1954791072 is an abundant number, since it is smaller than the sum of its proper divisors (4031768052).

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

1954791072 is a wasteful number, since it uses less digits than its factorization.

1954791072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522142 (or 522131 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 1954791072 is about 44213.0192590373. The cubic root of 1954791072 is about 1250.3553276776.

The spelling of 1954791072 in words is "one billion, nine hundred fifty-four million, seven hundred ninety-one thousand, seventy-two".