1642302640 has 80 divisors (see below), whose sum is σ = 4179732480. Its totient is φ = 595157760.

The previous prime is 1642302631. The next prime is 1642302647. The reversal of 1642302640 is 462032461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1642302640² = 5394315922701939200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1642302599 and 1642302608.

It is not an unprimeable number, because it can be changed into a prime (1642302647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267121 + ... + 273199.

It is an arithmetic number, because the mean of its divisors is an integer number (52246656).

Almost surely, 2^1642302640 is an apocalyptic number.

1642302640 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 1642302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089866240).

1642302640 is an abundant number, since it is smaller than the sum of its proper divisors (2537429840).

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

1642302640 is a wasteful number, since it uses less digits than its factorization.

1642302640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 1642302640 is about 40525.3333113992. Note that the first 4 decimals coincide. The cubic root of 1642302640 is about 1179.8253691587.

The spelling of 1642302640 in words is "one billion, six hundred forty-two million, three hundred two thousand, six hundred forty".