1642210540 has 48 divisors (see below), whose sum is σ = 3663630432. Its totient is φ = 616190976.

The previous prime is 1642210529. The next prime is 1642210541. The reversal of 1642210540 is 450122461.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1642210541) 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, 96514 + ... + 112246.

It is an arithmetic number, because the mean of its divisors is an integer number (76325634).

Almost surely, 2^1642210540 is an apocalyptic number.

1642210540 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 1642210540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831815216).

1642210540 is an abundant number, since it is smaller than the sum of its proper divisors (2021419892).

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

1642210540 is a wasteful number, since it uses less digits than its factorization.

1642210540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16066 (or 16064 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1642210540 is about 40524.1969692183. The cubic root of 1642210540 is about 1179.8033139570.

It can be divided in two parts, 16422 and 10540, that added together give a palindrome (26962).

The spelling of 1642210540 in words is "one billion, six hundred forty-two million, two hundred ten thousand, five hundred forty".