2652051456 has 216 divisors, whose sum is σ = 8053603740. Its totient is φ = 871907328.

The previous prime is 2652051449. The next prime is 2652051463. The reversal of 2652051456 is 6541502562.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2652051449) and next prime (2652051463).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2652051456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36329436 + ... + 36329508.

Almost surely, 2^2652051456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2652051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026801870).

2652051456 is an abundant number, since it is smaller than the sum of its proper divisors (5401552284).

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

2652051456 is an frugal number, since it uses more digits than its factorization.

2652051456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2652051456 is about 51498.0723522735. The cubic root of 2652051456 is about 1384.1845010026.

The spelling of 2652051456 in words is "two billion, six hundred fifty-two million, fifty-one thousand, four hundred fifty-six".