1972749760 has 56 divisors (see below), whose sum is σ = 4774667616. Its totient is φ = 776156160.

The previous prime is 1972749749. The next prime is 1972749761. The reversal of 1972749760 is 679472791.

It is a junction number, because it is equal to n+sod(n) for n = 1972749698 and 1972749707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972749761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31012 + ... + 70051.

Almost surely, 2^1972749760 is an apocalyptic number.

1972749760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972749760 is an abundant number, since it is smaller than the sum of its proper divisors (2801917856).

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

1972749760 is a wasteful number, since it uses less digits than its factorization.

1972749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101141 (or 101131 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 52.

The square root of 1972749760 is about 44415.6476931272. The cubic root of 1972749760 is about 1254.1726710210.

The spelling of 1972749760 in words is "one billion, nine hundred seventy-two million, seven hundred forty-nine thousand, seven hundred sixty".