1975034880 has 704 divisors, whose sum is σ = 8693690880. Its totient is φ = 414056448.

The previous prime is 1975034869. The next prime is 1975034917. The reversal of 1975034880 is 884305791.

It is a super-2 number, since 2×1975034880² = 7801525554433228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12579762 + ... + 12579918.

Almost surely, 2^1975034880 is an apocalyptic number.

1975034880 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 1975034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346845440).

1975034880 is an abundant number, since it is smaller than the sum of its proper divisors (6718656000).

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

1975034880 is a wasteful number, since it uses less digits than its factorization.

1975034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1975034880 is about 44441.3645155051. The cubic root of 1975034880 is about 1254.6567380232.

The spelling of 1975034880 in words is "one billion, nine hundred seventy-five million, thirty-four thousand, eight hundred eighty".