1974978720 has 768 divisors, whose sum is σ = 8534937600. Its totient is φ = 419696640.

The previous prime is 1974978703. The next prime is 1974978763. The reversal of 1974978720 is 278794791.

1974978720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14208411 + ... + 14208549.

It is an arithmetic number, because the mean of its divisors is an integer number (11113200).

Almost surely, 2^1974978720 is an apocalyptic number.

1974978720 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 1974978720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267468800).

1974978720 is an abundant number, since it is smaller than the sum of its proper divisors (6559958880).

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

1974978720 is a wasteful number, since it uses less digits than its factorization.

1974978720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The square root of 1974978720 is about 44440.7326672277. The cubic root of 1974978720 is about 1254.6448458805.

The spelling of 1974978720 in words is "one billion, nine hundred seventy-four million, nine hundred seventy-eight thousand, seven hundred twenty".