1964954880 has 486 divisors, whose sum is σ = 8044819146. Its totient is φ = 441520128.

The previous prime is 1964954879. The next prime is 1964954917. The reversal of 1964954880 is 884594691.

1964954880 is a `hidden beast` number, since 1 + 96 + 4 + 9 + 548 + 8 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1571963904 + 392990976 = 39648^2 + 19824^2 .

It is a super-2 number, since 2×1964954880² = 7722095360871628800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 33304291 + ... + 33304349.

Almost surely, 2^1964954880 is an apocalyptic number.

1964954880 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 1964954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022409573).

1964954880 is an abundant number, since it is smaller than the sum of its proper divisors (6079864266).

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

1964954880 is an equidigital number, since it uses as much as digits as its factorization.

1964954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 1964954880 is about 44327.8115859558. The cubic root of 1964954880 is about 1252.5186295292.

It can be divided in two parts, 19649 and 54880, that added together give a square (74529 = 273²).

The spelling of 1964954880 in words is "one billion, nine hundred sixty-four million, nine hundred fifty-four thousand, eight hundred eighty".