1640988288 has 128 divisors (see below), whose sum is σ = 4858464000. Its totient is φ = 545273856.

The previous prime is 1640988277. The next prime is 1640988311. The reversal of 1640988288 is 8828890461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1640988288² = 5385685122706341888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1578873 + ... + 1579911.

It is an arithmetic number, because the mean of its divisors is an integer number (37956750).

Almost surely, 2^1640988288 is an apocalyptic number.

1640988288 is a gapful number since it is divisible by the number (18) 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 1640988288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429232000).

1640988288 is an abundant number, since it is smaller than the sum of its proper divisors (3217475712).

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

1640988288 is a wasteful number, since it uses less digits than its factorization.

1640988288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 1640988288 is about 40509.1136412536. The cubic root of 1640988288 is about 1179.5105429584.

The spelling of 1640988288 in words is "one billion, six hundred forty million, nine hundred eighty-eight thousand, two hundred eighty-eight".