2653212672 has 260 divisors, whose sum is σ = 8658345696. Its totient is φ = 802897920.

The previous prime is 2653212641. The next prime is 2653212689. The reversal of 2653212672 is 2762123562.

2653212672 is a `hidden beast` number, since 265 + 321 + 2 + 6 + 72 = 666.

It is a super-2 number, since 2×2653212672² = 14079074965722759168, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3649173 + ... + 3649899.

Almost surely, 2^2653212672 is an apocalyptic number.

2653212672 is a gapful number since it is divisible by the number (22) 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 2653212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329172848).

2653212672 is an abundant number, since it is smaller than the sum of its proper divisors (6005133024).

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

2653212672 is an equidigital number, since it uses as much as digits as its factorization.

2653212672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 743 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2653212672 is about 51509.3454821550. The cubic root of 2653212672 is about 1384.3864959084.

It can be divided in two parts, 26532 and 12672, that added together give a square (39204 = 198²).

The spelling of 2653212672 in words is "two billion, six hundred fifty-three million, two hundred twelve thousand, six hundred seventy-two".