2696652000 has 960 divisors, whose sum is σ = 11987015040. Its totient is φ = 580608000.

The previous prime is 2696651999. The next prime is 2696652037. The reversal of 2696652000 is 2566962.

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 159 ways as a sum of consecutive naturals, for example, 65771980 + ... + 65772020.

It is an arithmetic number, because the mean of its divisors is an integer number (12486474).

Almost surely, 2^2696652000 is an apocalyptic number.

2696652000 is a gapful number since it is divisible by the number (20) 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 2696652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993507520).

2696652000 is an abundant number, since it is smaller than the sum of its proper divisors (9290363040).

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

2696652000 is a wasteful number, since it uses less digits than its factorization.

2696652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2696652000 is about 51929.2980888438. The cubic root of 2696652000 is about 1391.9008550075.

The spelling of 2696652000 in words is "two billion, six hundred ninety-six million, six hundred fifty-two thousand".