2251948765 has 16 divisors (see below), whose sum is σ = 2950649856. Its totient is φ = 1636312000.

The previous prime is 2251948729. The next prime is 2251948771. The reversal of 2251948765 is 5678491522.

It is not a de Polignac number, because 2251948765 - 2¹⁵ = 2251915997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45519 + ... + 81091.

It is an arithmetic number, because the mean of its divisors is an integer number (184415616).

Almost surely, 2^2251948765 is an apocalyptic number.

It is an amenable number.

2251948765 is a deficient number, since it is larger than the sum of its proper divisors (698701091).

2251948765 is a wasteful number, since it uses less digits than its factorization.

2251948765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36740.

The product of its digits is 1209600, while the sum is 49.

The square root of 2251948765 is about 47454.7022432972. The cubic root of 2251948765 is about 1310.7488997215.

The spelling of 2251948765 in words is "two billion, two hundred fifty-one million, nine hundred forty-eight thousand, seven hundred sixty-five".