1977680250 has 288 divisors, whose sum is σ = 6626790144. Its totient is φ = 416707200.

The previous prime is 1977680219. The next prime is 1977680267. The reversal of 1977680250 is 520867791.

1977680250 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1977680250² = 7822438342480125000, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1977680196 and 1977680205.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2661379 + ... + 2662121.

It is an arithmetic number, because the mean of its divisors is an integer number (23009688).

Almost surely, 2^1977680250 is an apocalyptic number.

1977680250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1977680250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313395072).

1977680250 is an abundant number, since it is smaller than the sum of its proper divisors (4649109894).

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

1977680250 is a wasteful number, since it uses less digits than its factorization.

1977680250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1977680250 is about 44471.1170311698. The cubic root of 1977680250 is about 1255.2166522791.

The spelling of 1977680250 in words is "one billion, nine hundred seventy-seven million, six hundred eighty thousand, two hundred fifty".