2167028640 has 240 divisors, whose sum is σ = 8740714752. Its totient is φ = 495300096.

The previous prime is 2167028561. The next prime is 2167028663. The reversal of 2167028640 is 468207612.

2167028640 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 0 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2167028595 and 2167028604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78777 + ... + 102663.

Almost surely, 2^2167028640 is an apocalyptic number.

2167028640 is a gapful number since it is divisible by the number (20) 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 2167028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370357376).

2167028640 is an abundant number, since it is smaller than the sum of its proper divisors (6573686112).

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

2167028640 is a wasteful number, since it uses less digits than its factorization.

2167028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23921 (or 23904 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2167028640 is about 46551.3548675009. The cubic root of 2167028640 is about 1294.0614020410.

The spelling of 2167028640 in words is "two billion, one hundred sixty-seven million, twenty-eight thousand, six hundred forty".