1972264140 has 480 divisors, whose sum is σ = 7841078784. Its totient is φ = 403107840.

The previous prime is 1972264111. The next prime is 1972264159. The reversal of 1972264140 is 414622791.

It is a happy number.

1972264140 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 2 + 641 + 4 + 0 = 666.

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 = 1972264095 and 1972264104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12099699 + ... + 12099861.

Almost surely, 2^1972264140 is an apocalyptic number.

1972264140 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 1972264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920539392).

1972264140 is an abundant number, since it is smaller than the sum of its proper divisors (5868814644).

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

1972264140 is a wasteful number, since it uses less digits than its factorization.

1972264140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1972264140 is about 44410.1805895900. The cubic root of 1972264140 is about 1254.0697518491.

The spelling of 1972264140 in words is "one billion, nine hundred seventy-two million, two hundred sixty-four thousand, one hundred forty".