2072797600 has 36 divisors (see below), whose sum is σ = 5060219094. Its totient is φ = 829118720.

The previous prime is 2072797579. The next prime is 2072797603. The reversal of 2072797600 is 67972702.

It can be written as a sum of positive squares in 3 ways, for example, as 2013137424 + 59660176 = 44868^2 + 7724^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2072797603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1294699 + ... + 1296298.

Almost surely, 2^2072797600 is an apocalyptic number.

2072797600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072797600 is an abundant number, since it is smaller than the sum of its proper divisors (2987421494).

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

2072797600 is a wasteful number, since it uses less digits than its factorization.

2072797600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591017 (or 2591004 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 2072797600 is about 45527.9869970110. The cubic root of 2072797600 is about 1275.0257793070.

The spelling of 2072797600 in words is "two billion, seventy-two million, seven hundred ninety-seven thousand, six hundred".