1972010616 has 128 divisors (see below), whose sum is σ = 5300951040. Its totient is φ = 609840000.

The previous prime is 1972010603. The next prime is 1972010617. The reversal of 1972010616 is 6160102791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972010617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5957571 + ... + 5957901.

It is an arithmetic number, because the mean of its divisors is an integer number (41413680).

Almost surely, 2^1972010616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972010616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650475520).

1972010616 is an abundant number, since it is smaller than the sum of its proper divisors (3328940424).

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

1972010616 is a wasteful number, since it uses less digits than its factorization.

1972010616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 1972010616 is about 44407.3261523366. The cubic root of 1972010616 is about 1254.0160148948.

The spelling of 1972010616 in words is "one billion, nine hundred seventy-two million, ten thousand, six hundred sixteen".