1972854624 has 288 divisors, whose sum is σ = 6215698944. Its totient is φ = 544727040.

The previous prime is 1972854553. The next prime is 1972854643. The reversal of 1972854624 is 4264582791.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6343429 + ... + 6343739.

It is an arithmetic number, because the mean of its divisors is an integer number (21582288).

Almost surely, 2^1972854624 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 1972854624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107849472).

1972854624 is an abundant number, since it is smaller than the sum of its proper divisors (4242844320).

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

1972854624 is a wasteful number, since it uses less digits than its factorization.

1972854624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 369 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 1972854624 is about 44416.8281623080. The cubic root of 1972854624 is about 1254.1948930036.

The spelling of 1972854624 in words is "one billion, nine hundred seventy-two million, eight hundred fifty-four thousand, six hundred twenty-four".