1977450240 has 144 divisors (see below), whose sum is σ = 6365310336. Its totient is φ = 523161600.

The previous prime is 1977450229. The next prime is 1977450253. The reversal of 1977450240 is 420547791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501075 + ... + 505005.

It is an arithmetic number, because the mean of its divisors is an integer number (44203544).

Almost surely, 2^1977450240 is an apocalyptic number.

1977450240 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 1977450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182655168).

1977450240 is an abundant number, since it is smaller than the sum of its proper divisors (4387860096).

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

1977450240 is a wasteful number, since it uses less digits than its factorization.

1977450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 1977450240 is about 44468.5308954546. The cubic root of 1977450240 is about 1255.1679886026.

The spelling of 1977450240 in words is "one billion, nine hundred seventy-seven million, four hundred fifty thousand, two hundred forty".