1972319040 has 336 divisors, whose sum is σ = 7082869248. Its totient is φ = 503304192.

The previous prime is 1972319033. The next prime is 1972319047. The reversal of 1972319040 is 409132791.

It is an interprime number because it is at equal distance from previous prime (1972319033) and next prime (1972319047).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1972318986 and 1972319004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972319047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8844369 + ... + 8844591.

It is an arithmetic number, because the mean of its divisors is an integer number (21079968).

Almost surely, 2^1972319040 is an apocalyptic number.

1972319040 is a gapful number since it is divisible by the number (10) 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 1972319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541434624).

1972319040 is an abundant number, since it is smaller than the sum of its proper divisors (5110550208).

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

1972319040 is a wasteful number, since it uses less digits than its factorization.

1972319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1972319040 is about 44410.7986868059. The cubic root of 1972319040 is about 1254.0813878481.

The spelling of 1972319040 in words is "one billion, nine hundred seventy-two million, three hundred nineteen thousand, forty".