1974149760 has 256 divisors, whose sum is σ = 6912760320. Its totient is φ = 475238400.

The previous prime is 1974149747. The next prime is 1974149767. The reversal of 1974149760 is 679414791.

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

It is not an unprimeable number, because it can be changed into a prime (1974149767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4456099 + ... + 4456541.

It is an arithmetic number, because the mean of its divisors is an integer number (27002970).

Almost surely, 2^1974149760 is an apocalyptic number.

1974149760 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 1974149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456380160).

1974149760 is an abundant number, since it is smaller than the sum of its proper divisors (4938610560).

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

1974149760 is a wasteful number, since it uses less digits than its factorization.

1974149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 1974149760 is about 44431.4051094493. The cubic root of 1974149760 is about 1254.4692834928.

The spelling of 1974149760 in words is "one billion, nine hundred seventy-four million, one hundred forty-nine thousand, seven hundred sixty".