1964249280 has 504 divisors, whose sum is σ = 8130844800. Its totient is φ = 433520640.

The previous prime is 1964249263. The next prime is 1964249297. The reversal of 1964249280 is 829424691.

It is an interprime number because it is at equal distance from previous prime (1964249263) and next prime (1964249297).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4374496 + ... + 4374944.

Almost surely, 2^1964249280 is an apocalyptic number.

1964249280 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 1964249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065422400).

1964249280 is an abundant number, since it is smaller than the sum of its proper divisors (6166595520).

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

1964249280 is a wasteful number, since it uses less digits than its factorization.

1964249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1964249280 is about 44319.8519853124. The cubic root of 1964249280 is about 1252.3686883505.

The spelling of 1964249280 in words is "one billion, nine hundred sixty-four million, two hundred forty-nine thousand, two hundred eighty".