2062361664 has 336 divisors, whose sum is σ = 7009644096. Its totient is φ = 572620800.

The previous prime is 2062361633. The next prime is 2062361671. The reversal of 2062361664 is 4661632602.

2062361664 is a `hidden beast` number, since 20 + 623 + 6 + 1 + 6 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4415959 + ... + 4416425.

It is an arithmetic number, because the mean of its divisors is an integer number (20862036).

Almost surely, 2^2062361664 is an apocalyptic number.

2062361664 is a gapful number since it is divisible by the number (24) 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 2062361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504822048).

2062361664 is an abundant number, since it is smaller than the sum of its proper divisors (4947282432).

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

2062361664 is a wasteful number, since it uses less digits than its factorization.

2062361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2062361664 is about 45413.2322566892. The cubic root of 2062361664 is about 1272.8823828866.

The spelling of 2062361664 in words is "two billion, sixty-two million, three hundred sixty-one thousand, six hundred sixty-four".