1971988480 has 384 divisors, whose sum is σ = 6142106880. Its totient is φ = 589824000.

The previous prime is 1971988411. The next prime is 1971988481. The reversal of 1971988480 is 848891791.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (1971988481) 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, 32327650 + ... + 32327710.

It is an arithmetic number, because the mean of its divisors is an integer number (15995070).

Almost surely, 2^1971988480 is an apocalyptic number.

1971988480 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 1971988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071053440).

1971988480 is an abundant number, since it is smaller than the sum of its proper divisors (4170118400).

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

1971988480 is a wasteful number, since it uses less digits than its factorization.

1971988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 55.

The square root of 1971988480 is about 44407.0769134831. The cubic root of 1971988480 is about 1254.0113227290.

The spelling of 1971988480 in words is "one billion, nine hundred seventy-one million, nine hundred eighty-eight thousand, four hundred eighty".