1964657240 has 256 divisors, whose sum is σ = 5868011520. Its totient is φ = 574801920.

The previous prime is 1964657237. The next prime is 1964657243. The reversal of 1964657240 is 427564691.

It is an interprime number because it is at equal distance from previous prime (1964657237) and next prime (1964657243).

It is a junction number, because it is equal to n+sod(n) for n = 1964657191 and 1964657200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964657243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2594942 + ... + 2595698.

It is an arithmetic number, because the mean of its divisors is an integer number (22921920).

Almost surely, 2^1964657240 is an apocalyptic number.

1964657240 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 1964657240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934005760).

1964657240 is an abundant number, since it is smaller than the sum of its proper divisors (3903354280).

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

1964657240 is a wasteful number, since it uses less digits than its factorization.

1964657240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 1964657240 is about 44324.4541985573. The cubic root of 1964657240 is about 1252.4553849099.

The spelling of 1964657240 in words is "one billion, nine hundred sixty-four million, six hundred fifty-seven thousand, two hundred forty".