1974749280 has 384 divisors, whose sum is σ = 7368496128. Its totient is φ = 435290112.

The previous prime is 1974749267. The next prime is 1974749303. The reversal of 1974749280 is 829474791.

It is a super-3 number, since 3×1974749280³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20358192 + ... + 20358288.

It is an arithmetic number, because the mean of its divisors is an integer number (19188792).

Almost surely, 2^1974749280 is an apocalyptic number.

1974749280 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 1974749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684248064).

1974749280 is an abundant number, since it is smaller than the sum of its proper divisors (5393746848).

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

1974749280 is a wasteful number, since it uses less digits than its factorization.

1974749280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 1974749280 is about 44438.1511766635. The cubic root of 1974749280 is about 1254.5962585449.

The spelling of 1974749280 in words is "one billion, nine hundred seventy-four million, seven hundred forty-nine thousand, two hundred eighty".