1972756640 has 48 divisors (see below), whose sum is σ = 4665548160. Its totient is φ = 788271360.

The previous prime is 1972756633. The next prime is 1972756649. The reversal of 1972756640 is 466572791.

It is not an unprimeable number, because it can be changed into a prime (1972756649) 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, 158981 + ... + 170939.

It is an arithmetic number, because the mean of its divisors is an integer number (97198920).

Almost surely, 2^1972756640 is an apocalyptic number.

1972756640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972756640 is an abundant number, since it is smaller than the sum of its proper divisors (2692791520).

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

1972756640 is a wasteful number, since it uses less digits than its factorization.

1972756640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13005 (or 12997 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 47.

The square root of 1972756640 is about 44415.7251432418. The cubic root of 1972756640 is about 1254.1741290025.

It can be divided in two parts, 19727 and 56640, that added together give a palindrome (76367).

The spelling of 1972756640 in words is "one billion, nine hundred seventy-two million, seven hundred fifty-six thousand, six hundred forty".